scholarly journals Phase structure of the quartic-cubic generalized two dimensional Yang-Mills U(N) on the sphere

2008 ◽  
Vol 49 (7) ◽  
pp. 073514
Author(s):  
L. Lavaei-Yanesi ◽  
M. Khorrami
Keyword(s):  
Phase Structure ◽  
Two Dimensional ◽  
Yang Mills

scholarly journals MORE ON PHASE STRUCTURE OF NONLOCAL 2D GENERALIZED YANG–MILLS THEORIES (nlgYM2's)

2002 ◽  
Vol 17 (25) ◽  
pp. 3641-3648 ◽  
Author(s):  
KH. SAAIDI ◽  
M. R. SETARE
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Phase Structure ◽  
Compact Manifold ◽  
Two Dimensional ◽  
Third Order ◽  
Yang Mills ◽  
Order Of Phase Transition ◽  
Text Model

We study the phase structure of nonlocal two-dimensional generalized Yang–Mills theories (nlgYM2) and it is shown that all order of ϕ2k model of these theories has phase transition only on compact manifold with g = 0 (on sphere), and the order of phase transition is 3. Also it is shown that the [Formula: see text] model of nlgYM2 has third order phase transition on any compact manifold with [Formula: see text], and has no phase transition on the sphere.

scholarly journals On the phase structure of two-dimensional generalized Yang–Mills theories

2001 ◽  
Vol 597 (1-3) ◽  
pp. 652-664 ◽  
Author(s):  
Masoud Alimohammadi ◽  
Mohammad Khorrami
Keyword(s):  
Phase Structure ◽  
Two Dimensional ◽  
Yang Mills

scholarly journals Multiple phases in a generalized Gross-Witten-Wadia matrix model

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Jorge G. Russo ◽  
Miguel Tierz
Keyword(s):  
Partition Function ◽  
Matrix Models ◽  
Characteristic Polynomial ◽  
Matrix Model ◽  
Phase Structure ◽  
Unitary Matrix ◽  
Two Dimensional ◽  
Toeplitz Determinants ◽  
Dimensional Parameter ◽  
Planar Limit

Abstract We study a unitary matrix model of the Gross-Witten-Wadia type, extended with the addition of characteristic polynomial insertions. The model interpolates between solvable unitary matrix models and is the unitary counterpart of a deformed Cauchy ensemble. Exact formulas for the partition function and Wilson loops are given in terms of Toeplitz determinants and minors and large N results are obtained by using Szegö theorem with a Fisher-Hartwig singularity. In the large N (planar) limit with two scaled couplings, the theory exhibits a surprisingly intricate phase structure in the two-dimensional parameter space.

scholarly journals Solving puzzles in deformed JT gravity: phase transitions and non-perturbative effects

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Clifford V. Johnson ◽  
Felipe Rosso
Keyword(s):  
Phase Structure ◽  
Scalar Potential ◽  
String Equation ◽  
Two Dimensional ◽  
Leading Order ◽  
Classical Analysis ◽  
First Order ◽  
First Order Phase Transition ◽  
Definition Of ◽  
First Order Phase

Abstract Recent work has shown that certain deformations of the scalar potential in Jackiw-Teitelboim gravity can be written as double-scaled matrix models. However, some of the deformations exhibit an apparent breakdown of unitarity in the form of a negative spectral density at disc order. We show here that the source of the problem is the presence of a multi-valued solution of the leading order matrix model string equation. While for a class of deformations we fix the problem by identifying a first order phase transition, for others we show that the theory is both perturbatively and non-perturbatively inconsistent. Aspects of the phase structure of the deformations are mapped out, using methods known to supply a non-perturbative definition of undeformed JT gravity. Some features are in qualitative agreement with a semi-classical analysis of the phase structure of two-dimensional black holes in these deformed theories.

scholarly journals Phase structure of N=1 super Yang-Mills theory from the gradient flow

2019 ◽  
Author(s):  
Camilo Lopez ◽  
Georg Bergner ◽  
Stefano Piemonte
Keyword(s):  
Phase Structure ◽  
Gradient Flow ◽  
Yang Mills ◽  
Super Yang Mills Theory

scholarly journals The semiclassical limit of the two‐dimensional quantum Yang–Mills model

1994 ◽  
Vol 35 (10) ◽  
pp. 5354-5361 ◽  
Author(s):  
Christopher King ◽  
Ambar Sengupta
Keyword(s):  
Semiclassical Limit ◽  
Two Dimensional ◽  
Yang Mills
Sign in / Sign up

Export Citation Format

Share Document