どうもありがとうございました。まずはご紹介します。ここでご紹介します。私はマサトシです。日本から来ています。私はこの年の末にプレゼントを受けました。今後は京都のポストドッグです。次の月にポストドッグを受けます。今日、私はヘララッキーのプログラムをお話しします。幸いな話で、私はヘララッキーのプログラムに対して良い解説を受けました。しかし、私はソロビンヘララッキーのプログラムに対して良い解説を受けました。実際に、アシンプロテカリの安全なグラビティを受けました。この話は、私の友達とキニア・オーダーとユタ・ハマダのコラボレーションに対して良い解説を受けました。では、ご紹介します。まず、アシンプロテカリのヘララッキーを受けました。このアシンプロテカリのヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。このヘララッキーは、私の友達とヘララッキーのプログラムに対して良い解説を受けました。次のマスはこの形で、ベアマスを持っています。実際にはループコレクションを持っています。この形で、ループコレクションを持っています。実際にはラムダースクエア、クラウドラルティックダイバージンです。このマスはベアマスとクラウドラルティックダイバージンです。このマスは、ラムダースクエア、クラウドラルティックダイバージンを持っています。クラウドラルティックダイバージンは10-90GBです。しかしこのマスは、リキュンクラスクエア、クラウドラルティックダイバージンです。次のマスは、ラムダースクエアとクラウドラルティックダイバージンです。このプログラムはHirakiですファイントチューニングプログラムと呼ばれますBMSとクラウドクライバーの間にファイントチューニングプログラムと呼ばれます次にこのプログラムを紹介しますWilson RGの目標まず、シンプルアクションスカラーのシンプルアクションを始めますここにあるファイントチューニングプログラムのフレーズを紹介しますファイントチューニングプログラムのフレーズバウンダリーで、クリティアルラインを取り出します左手のフレーズを取り出し、ネガティブのフレーズを取り出します右手のフレーズを取り出し、シンプルアクションスカラーのフレーズを取り出し、このフレーズについてさらに、シンプルアクションスカラーへのプレーズを取り出し、シンプルアクションスカラーで、クリティアルラインを取り出し、シンプルアクションスカラーに向けますこのフランの重要性を取り出し、このフォームで示すのは重要ですDimensionless mass equals some coupling constant.Please keep your mind in this form.If you put some bare parameter, some leave it far from phase boundary.Mass goes to become very large.Dimensionless mass is given by this form.Now we assume that this quality coupling is almost constant in the flow.If you put the bare parameter on this phase boundary,Mass goes to mass.We have this relation.This bare parameter satisfies this form.This relation vanishes.This corresponds to the massless theory or a critical theory.I repeat my explanation.Lambda-square quadratic divergence determines the position of the phase boundary.Fade boundary corresponds to massless or a critical theory.Therefore, hierarchical programming changes.In other words, to obtain a small mass, small renormalized mass,we have to put the bare parameter very close to the phase boundary.This is a hierarchy program in view of Wilson-RG.I want to say that the hierarchy program is a critical program.Why is Higgs so close to the critical line?We have some two phases.Higgs runs very near to the boundary.Once we put around here,Mass goes to the very large region.We can say that the hierarchy program is a critical problem.Now I have a comment.I have a very controversial discussion here.Lambda-square is spurious or not.Because now as I said,the position of the phase boundary is given by Lambda-square.Now this boundary strongly depends on the cut-off scheme.Sorry, I forgot to explain.Now we have C.C is some constant which depends on the renormalized scheme.Because if you change the renormalized scheme,this position of phase boundary is moved.Therefore,I guess such value is not physically meaningless.But distance between the flow and the boundary is physically meaningful.Actually,in perturbation theory, quadratic divergence is always subtracted by the counter term.Or if you use a dimensional regularization,quadratic divergence automatically subtracted.This corresponds to the rotation of the coordinate.Because we have this phase diagram.But we can rotate the theoretical space.And then we bring this phase boundary to this line.Which means C called the line.And just some vertical line.Then this relation boundary condition changes to this form.If you believe this discussion,Helarchy program is a bare theory of Higgsis almost scale invariant or conformal invariant.If you believe the A theorem,we can say also conformal invariant.If we put bare mass 0,reormalized mass is always 0.Because critical line given by this line.So once you put here,RG flow goes to this line.It's a vanishing,reormalized mass.Actually,we have also seen this learningin the perturbation theory of learning of M squared.Actually,it's a perturbative RG equation.Beta function is proportional to mass squared itself.So once you put the mass equal to 0,mass does not run.Therefore,mass does not generate.It's consistent with this described nation.So this put and bare mass equal to 0is the idea of classical scale invariance.If you impose the classical scale invariance,standard model becomes a scale less theory.In that case,we have to explain how to generate the scalerelated to the electric vacuum.To this end,we have to use some dimensionaltransmitation,which is so-calledKohlmann-Weinbach mechanism,or dynamical symmetry breaking,such as QCD,with sub-scale.It's one of the extensions of the standard model in phenomenology.It's a comment.Now here,I'd like to summarize over.Now,I want to emphasize thatHiragiki program is a critical program,criticality program.Why Higgs is close to the critical line?Now,we discussed thatLambda-Square is physically meaningful or not.So if you believe the classical scale invariance,this is one of the solution of theHiragiki program.But I think this idea has a crucial problem.Because this idea does not include a gravitational effect.Therefore,we have to discuss this ideawithin the gravitational effect.Okay.So,next,I'll direct the next part.So,I explained the asymmetrical safety gravity.But we have already many good talk.So,I will briefly summarize.Okay.This idea was suggested byLambda-Square.And crucial point is the existence of the UV fixed point.If we have such a UV fixed point,so we can take a continuum limit.And we can define the UV critical surface,which corresponds to the UV completely is definedby the relevant operator.So,it's dimension,a critical surface dimension corresponding to the number of free parameters.Number of free parameters is number of relevant operators.So,this idea is a generalization of theashivity totality is free.It's skipable,okay.Anyway,it's RG flow is followed by this equation.Now,actually,it's also skipable.But now,I would like to explain a little bitbecause this definition of critical exponentis dependent on each man.So,I showed my definition.So,now,critical exponent is a classificationof the RG flow around the fixed point.Now,I expand the beta functionaround the fixed point.And the first term is a banished by definition.So,we remain only the linear term.So,we can solve easily this equation.Solution becomes this form.Now,here we have a theta.Theta is an eigenvalue of this matrix.This is a critical exponent.So,in my notation,positive critical exponentis relevantand negative one is irrelevant.So,be careful.Because our notation,we put the minus signin this definition.Okay.So,we have many,many earlier studies.So,for the peer of gravity,we have many truncations.So,fr type or this higher derivative gravity.So,this study showed thatnumber of relevant operator is stable 3.Okay.Which means at free parameter is only 3.So,once we set three parameters,so,we can predict the low energy physics.Also,there are many system with matter.So,example for,we study the accessibility of fixed pointor scalar gravity system,hexical system,gradational,sorry,a great field systemand field mix system.Now,we showed some references.Unfortunately,I could not list up all references.Also,it's important aspect ofas in the safe gravity is a prediction of thehex mass.Before discovery of hex boson,actuallyit's Mihail Sapodikov and Kristoff show thathex mass become 125 GB.This study is encourage the asymptotic safe gravity scenario.Okay.Now,here I mentioned hierarchy problem for the cosmological constant.Now,cosmological constant becomevery quite small.So,which means,why is the cosmological constant small?Or,as the same meaning,why is the universe critical?This is a very famous phase diagram of quantum gravityobtained by Frank.Anyway,it's some Newton constant,dimensionless Newton constant anddimensionless cosmological constant.Now,anyway,in order toobtain the small,very smallcosmological constant,we have to put the bare parameternear to the phase boundary.It's the same as thehex boson mass.So,anyway,I want to emphasize thatherarchy problem is a criticality problem.Therefore,why hex mass and cosmological constantclose to the critical line?This is a question,open question.Okay.Next,I'd like to go to Mihailstudies,hex supermodel,normally a couple to the gravity.Now,we consider this simple truncated effective action.This action is a simple toy model ofstandard model and also toy model ofhex inflation.I mentioned it later.Now,we have potential and thisnon-minimal potential and we havealso Yukawa interaction.Now,potentialcan be expanded into the polynomial ofphi-square.Now,lowest part is acosmological constant and next is a mass square and the quadratic coupling andcontinued.Also,we have,we can expand finto the polynomial ofphi-square.So,lowestpart correspond to so-called Planck massor inverse Newton constant andnext part is a non-minimal couplingbecause it'sphi-square all-time.Okay.Now,let's analyze this model.Now,I showed a setup.Now,we usethe background field method.We use asimple linear split.As the background field,I use a digital metric andalso,we use a dead-on-the-gauge orlander-gauge and cut-off function isused.Namely,we use this form cut-offfunction,but be careful,forphilmion,we have to use this typecut-off in order to get the correctsign in the beta function,which isindicated by Robert.So,pleasesee this paper.Okay.In this setup,Icalculate this system.Okay.Buildthat.I rebuild it withoutphilmion case,which is ascholagraphy system.This system isanalysed by Robert andanother scientist.So,now,weconsider five-dimensional space,namely,it'splank mass-square and cosmology constantand mass-square,scholar mass-square and non-minimalcoupling and quality coupling.So,we canfound Gaussian matrix point.That is,wehave non-trivial fixed point ingravity sector,but matrix sector isVanish,Vanishing.So,we cancalculate critical exponent around thisfixed point.So,we get criticalexponent.And,the result is,asfollow,plank mass and cosmology constantis positive,positive criticalexponent.And also,mass-square andnominal coupling also positive.Therefore,thiscoupling is relevant.So,thiscoupling is free parameter.But,on the otherhand,Lambda is become irrelevant.So,Lambdashould be generated by thiscoupling inlow-energy physics.Okay,next,weconsider with one-philmion case.It'shis system.So,now,weconsider the six-dimensional theory space.Weinclude also yukawa coupling.So,wealso found the Gaussian matrix point.So,weobtain this fixed point.But,pleasenotice that fixed point value ofgravity becomes a small.And,we cancalculate also a critical exponent.So,weobtain the critical exponent here.So,plank mass and cosmology constant is stillpositive.Therefore,it's relevant.But,now,mass-square andnominal coupling become negative.Therefore,thiscoupling becomes irrelevant,not free parameter.And also,Lambda and yukawa become irrelevant.Our result isphilmonic effect makes mass-square andnominal coupling irrelevant.Therefore,thiscoupling are not free parameters.Now,in this truncation,and,sorry,in this truncationand,sorry,go,go,okay.Okay,anyway,inthis truncation,and two couplings isrelevant.So,this coupling determine the lowenergy physics.And,m-square andnominal coupling,Lambda are generated by this coupling.Okay,now,you already know theanswer.So,is criticality of mass-square solved?Because,mass-parameter already irrelevant.Therefore,you may thinkherarchy program of mass-square is solved.But,the answer is no.Because,okay,nowconsider some RG flow.This is RG flow of mass-square.And,green line,green colors couplings is relevant coupling.Therefore,inUV scale,we have only this coupling.Therefore,m-square should be generated by this coupling.And,m-so,RG flow become like this.And,UV scalem-square becomes banishing.But,by the fluctuation of the gravitational effect,so,mass-parameter isgenerate.And,therefore,at some scale,for example,at some Planck scale,so,higgs mass already have a finite mass.Therefore,once,m-square is generated,mass grow up due to thecalonical scaling this term.Therefore,we have tofinetune this coupling.But,important things is at four.Now,higgs is controlled by thegravitational effect.But,why they are locatedas a critical place?So,if he mistakes something,higgs mass is go another world.But,they are locatedvery close to the critical place,located at the critical place.This,so,therefore,it's still a hierarchy program.But,important as things iscriticality ofhiggs mass and criticality ofuniverse is unified.Because,once wedecide,we determine this coupling,mass,higgs mass should begenerate.So,we have tofinetune this parameter as a small,smallcosmary constant and smallhiggs mass in lowenergy physics.Ok,finally,I would like to comment on the irrelevant non-minimal coupling.So,our results show that non-minimal coupling become alsoirrelevant.So,non-minimal coupling plays a crucial rolein thehiggs inflation.So,I have a brief reviewon thehiggs inflation.Higgs inflation can beexplained plank observation.This is a result as blue line,blue region is an observation dataover plank.Higgs inflation result put here.So,actually,higgs inflation is very good model of inflation.Higgs inflation model is given by this action.This term isso-called non-minimal coupling becausehiggs square and r square.So,now wecan consider very simple action.But this actioncan be changed to Einstein frame to Jordan frame.This actioncould be called Jordan frame.So,using conformaltransmation,namely,it's this factor is absorbedinto the metric and we define the newmetrics and then potential becomes this form.So,thisI plot here and potential.So,we have a plateau aroundlarge feed value.Then,using this plateau,we canexplain thehiggs inflation.Okay,but toexplain the experimental data,we need a large,verylarge non-minimal coupling.Original paper ofBezlukoff and Schaffnikoff show that.So,we have to putnon-minimal coupling as 10 to 5.But recentstudy show that we can reduce to 10.But still is verylarge.So,can we explain this result and withinour result.So,okay,now I show that somelarge flow,large equation of non-minimal coupling.As,as,ascan you say,can you see?Now,it's a blue,green,green one isrelevant coupling.Actually,it's a non-minimal couplinggenerated by the gravitational effect.But we have a verylarge separation factor around here.Therefore,non-minimal coupling basically cannot be large.And because a non-minimal coupling case,it's canonical dimension is 0.Therefore,it does not,sorry.Anyway,canunical dimension is 0.So,it does not grow up.Grow up in low energy,low energy .Therefore,we cannot explain this large non-minimal coupling inour model.Okay.Okay.Let's summarize my talk.Okay.Helarchy program is a critical program.So,now,as you,as you knowthat asymptotic safety gravity is a candidate of countergravity.So,we consider a hierarchy program within the asymptotic safety gravity.So,now,I,especially,analyze the Higgs-Yukawa model.So,I'll show that mass square and the non-minimal coupling become irrelevant,which indicates that unification of hierarchy program is occur.But how to fine-tune the relevant operators,but it's still an open program.So,I also discussed a relationship to the Higgs inflation.In our result,we cannot explain the large non-minimal coupling.Okay.I show the future .So,anyway,we have to extend the theory space because our present theory space is very small.So,in standard model,we have more fermions and gauge fields.So,we have to include these fields.And also,I would like to mention the Yukawa coupling.Because in our result,show that Yukawa coupling also become irrelevant.But Yukawa coupling isprotected by the chiral symmetry,which means a better function of Yukawa is proportional to Yukawa itself.So,if Yukawa coupling put 0,So Yukawa coupling does not run,but it's not consistent with low energy physics.So,to solve this problem,we have to consider some extension.So,also,please refer to this difference.So,Asteroid talks also andAsteroid and Aron as .So,now,I just calculate this system,namely,Higgs Yukawa with higher derivative gravity.Now,it's in progress with my friends.Okay.Now,future big aims for me.So,why do M-square and Cosmal constant prefer the critical?This is a fine chiral key program.So,to solve this program,we have to consider,so,do we have a relationship that both M-square and lambda constant become small.So,if you have such a relationship,can we guarantee it?So,in this flow,so,what is a relationship with a physical value in low energy physics?If you believe some classical scale invariant scenario,so,can we guarantee it?This is my future big aim.Okay,that's all.Thank you.