Large N phase transition in $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere

Santilli, Leonardo; Tierz, Miguel

doi:10.1007/jhep01(2019)054

Cited by 32 publications

(63 citation statements)

References 43 publications

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“…where g YM is the Yang-Mills coupling constant. Following this proposal, the phase structure of the U(N ) theory on the sphere was studied at large N in [38], using standard field theory techniques. The prescription (1.1) was derived by [39] by directly coupling the heat kernel expansion, which depends on the area of the Riemann surface, to JT gravity and performing the gravitational path integral.…”

Section: Jhep11(2020)086mentioning

confidence: 99%

“…A central point of this paper is a generalization of the analysis of [38] to the large N limit of the T T -deformation of q-deformed U(N ) Yang-Mills theory on the sphere. We show that the main features of the undeformed theory are preserved, namely there is a third order phase transition induced by instantons.…”

Section: Jhep11(2020)086mentioning

confidence: 99%

“…Formula (3.2), or more precisely its original version with C gen (R) = C 2 (R), was first proposed in [37], although it was not rigorously justified for curved surfaces Σ. The proposal of [37] was also the starting point of previous work [38] studying the phase structure of the T T -deformed theory. Here we have provided the derivation, following an argument similar to that of [39] but with a few important differences.…”

Section: Jhep11(2020)086mentioning

confidence: 99%

“…In [38] it was shown that T T -deformed (but not q-deformed) Yang-Mills theory also undergoes a DK-type transition for 0 ≤ τ < τ max , with…”

Section: Phase Transitions In T T -Deformed Q-yang-mills Theorymentioning

confidence: 99%

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$$ T\overline{T} $$-deformation of q-Yang-Mills theory

Santilli

Szabo

Tierz

2020

J. High Energ. Phys.

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We derive the $$ T\overline{T} $$ T T ¯ -perturbed version of two-dimensional q-deformed Yang-Mills theory on an arbitrary Riemann surface by coupling the unperturbed theory in the first order formalism to Jackiw-Teitelboim gravity. We show that the $$ T\overline{T} $$ T T ¯ -deformation results in a breakdown of the connection with a Chern-Simons theory on a Seifert manifold, and of the large N factorization into chiral and anti-chiral sectors. For the U(N) gauge theory on the sphere, we show that the large N phase transition persists, and that it is of third order and induced by instantons. The effect of the $$ T\overline{T} $$ T T ¯ -deformation is to decrease the critical value of the ’t Hooft coupling, and also to extend the class of line bundles for which the phase transition occurs. The same results are shown to hold for (q, t)-deformed Yang-Mills theory. We also explicitly evaluate the entanglement entropy in the large N limit of Yang-Mills theory, showing that the $$ T\overline{T} $$ T T ¯ -deformation decreases the contribution of the Boltzmann entropy.

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Section: Jhep11(2020)086mentioning

confidence: 99%

Section: Jhep11(2020)086mentioning

confidence: 99%

Section: Jhep11(2020)086mentioning

confidence: 99%

“…In [38] it was shown that T T -deformed (but not q-deformed) Yang-Mills theory also undergoes a DK-type transition for 0 ≤ τ < τ max , with…”

Section: Phase Transitions In T T -Deformed Q-yang-mills Theorymentioning

confidence: 99%

See 2 more Smart Citations

$$ T\overline{T} $$-deformation of q-Yang-Mills theory

Santilli

Szabo

Tierz

2020

J. High Energ. Phys.

Self Cite

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show abstract

“…Besides TT deformation, other deformations in this set including the so-called JT deformation also receive much attention from both field theory and holographic points of view [12][13][14][15][16][17][18][19][20]. In addition, the TT deformation can also be understood from some other perspectives and generalizations [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Correlation functions of CFTs on a torus with a TT¯ deformation

Sun

2020

Phys. Rev. D

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In this paper, we investigate the correlation functions of the conformal field theory (CFT) with the TT deformation on a torus in terms of the perturbative CFT approach, which is the extension of the previous investigations on correlation functions defined on a plane. We systematically obtain the first-order correction to the correlation functions of the CFTs with a TT deformation in both operator formalism and path integral language. As a consistency check, we compute the deformed partition function, namely, the zero-point correlation function, up to the first order, which is consistent with results in the literature. Moreover, we obtain a new recursion relation for correlation functions with multiple T's andT's inserted in generic CFTs on a torus. Based on the recursion relations, we study some correlation functions of stress tensors up to the first order under TT deformation.

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The $$ \mathrm{T}\overline{\mathrm{T}} $$ perturbation and its geometric interpretation

Conti

Negro

Tateo

2019

J. High Energ. Phys.

157

208

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Starting from the recently-discovered TT-perturbed Lagrangians, we prove that the deformed solutions to the classical EoMs for bosonic field theories are equivalent to the unperturbed ones but for a specific field-dependent local change of coordinates. This surprising geometric outcome is fully consistent with the identification of TT-deformed 2D quantum field theories as topological JT gravity coupled to generic matter fields. Although our conclusion is valid for generic interacting potentials, it first emerged from a detailed study of the sine-Gordon model and in particular from the fact that solitonic pseudo-spherical surfaces embedded in R 3 are left invariant by the deformation. Analytic and numerical results concerning the perturbation of specific sine-Gordon soliton solutions are presented. arXiv:1809.09593v3 [hep-th]

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Large N phase transition in $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere

Cited by 32 publications

References 43 publications

$$ T\overline{T} $$-deformation of q-Yang-Mills theory

$$ T\overline{T} $$-deformation of q-Yang-Mills theory

Correlation functions of CFTs on a torus with a TT¯ deformation

The $$ \mathrm{T}\overline{\mathrm{T}} $$ perturbation and its geometric interpretation

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