scholarly journals Phase transitions of large-N two-dimensional Yang–Mills and generalized Yang–Mills theories in the double scaling limit

2006 ◽  
Vol 47 (2) ◽  
pp. 507-512 ◽  
Author(s):  
M. Alimohammadi ◽  
M. Khorrami
Keyword(s):  
Phase Transitions ◽  
Scaling Limit ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N ◽  
Double Scaling Limit

scholarly journals Field Strength Correlators for Two-Dimensional Yang–Mills Theories Over Riemann Surfaces

1997 ◽  
Vol 12 (26) ◽  
pp. 4743-4768 ◽  
Author(s):  
João P. Nunes ◽  
Howard J. Schnitzer
Keyword(s):  
Phase Transitions ◽  
Field Strength ◽  
Critical Point ◽  
Path Integral ◽  
Correlation Functions ◽  
Riemann Surfaces ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N ◽  
Topological Obstructions

The path integral computation of field strength correlation functions for two-dimensional Yang–Mills theories over Riemann surfaces is studied. The calculation is carried out by Abelianization, which leads to correlators that are topological. They are nontrivial as a result of the topological obstructions to the Abelianization. It is shown in the large N limit on the sphere that the correlators undergo second order phase transitions at the critical point. Our results are applied to a computation of contractible Wilson loops.

scholarly journals Hexagon bootstrap in the double scaling limit

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Vsevolod Chestnov ◽  
Georgios Papathanasiou
Keyword(s):  
Function Space ◽  
Operator Product Expansion ◽  
General Pattern ◽  
Scaling Limit ◽  
Kinematic Region ◽  
Operator Product ◽  
Yang Mills ◽  
Codimension One ◽  
Double Scaling Limit ◽  
Super Yang Mills Theory

Abstract We study the six-particle amplitude in planar $$ \mathcal{N} $$ N = 4 super Yang-Mills theory in the double scaling (DS) limit, the only nontrivial codimension-one boundary of its positive kinematic region. We construct the relevant function space, which is significantly constrained due to the extended Steinmann relations, up to weight 13 in coproduct form, and up to weight 12 as an explicit polylogarithmic representation. Expanding the latter in the collinear boundary of the DS limit, and using the Pentagon Operator Product Expansion, we compute the non-divergent coefficient of a certain component of the Next-to-Maximally-Helicity-Violating amplitude through weight 12 and eight loops. We also specialize our results to the overlapping origin limit, observing a general pattern for its leading divergences.

scholarly journals SUPERLOOP EQUATIONS AND TWO-DIMENSIONAL SUPERGRAVITY

1992 ◽  
Vol 07 (21) ◽  
pp. 5337-5367 ◽  
Author(s):  
L. ALVAREZ-GAUMÉ ◽  
H. ITOYAMA ◽  
J.L. MAÑES ◽  
A. ZADRA
Keyword(s):  
Partition Function ◽  
Discrete Model ◽  
Continuum Limit ◽  
Basic Assumption ◽  
Scaling Limit ◽  
Integrable Hierarchy ◽  
Two Dimensional ◽  
Virasoro Constraints ◽  
Double Scaling Limit ◽  
The Continuum

We propose a discrete model whose continuum limit reproduces the string susceptibility and the scaling dimensions of (2, 4m) minimal superconformal models coupled to 2D supergravity. The basic assumption in our presentation is a set of super-Virasoro constraints imposed on the partition function. We recover the Neveu-Schwarz and Ramond sectors of the theory, and we are also able to evaluate all planar loop correlation functions in the continuum limit. We find evidence to identify the integrable hierarchy of nonlinear equations describing the double scaling limit as a supersymmetric generalization of KP studied by Rabin.

scholarly journals Testing the holographic principle using lattice simulations

2018 ◽  
Vol 175 ◽  
pp. 08004 ◽  
Author(s):  
Raghav G. Jha ◽  
Simon Catterall ◽  
David Schaich ◽  
Toby Wiseman
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Strong Coupling ◽  
Type Ii ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Made In

The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made in the last decade, based on ideas from topological twisting and orbifolding, it is now possible to study these theories on the lattice while preserving an exact supersymmetry on the lattice. We present some results from the lattice studies of two-dimensional MSYM which is related to Type II supergravity. Our results agree with the thermodynamics of different black hole phases on the gravity side and the phase transition (Gregory–Laflamme) between them.

scholarly journals Large N universality of the two-dimensional Yang-Mills string

1995 ◽  
Vol 446 (1-2) ◽  
pp. 3-15 ◽  
Author(s):  
Michael Crescimanno ◽  
Stephen G. Naculich ◽  
Howard J. Schnitzer
Keyword(s):  
Two Dimensional ◽  
Yang Mills ◽  
Large N

scholarly journals A new double-scaling limit of super-Yang–Mills theory and pp-wave strings

2002 ◽  
Vol 643 (1-3) ◽  
pp. 3-30 ◽  
Author(s):  
C. Kristjansen ◽  
J. Plefka ◽  
G.W. Semenoff ◽  
M. Staudacher
Keyword(s):  
Scaling Limit ◽  
Yang Mills ◽  
Pp Wave ◽  
Double Scaling Limit ◽  
Super Yang Mills Theory

scholarly journals Large-N behavior of the Wilson loops of generalized two-dimensional Yang–Mills theories

2006 ◽  
Vol 733 (1-2) ◽  
pp. 123-131 ◽  
Author(s):  
M. Khorrami ◽  
M. Alimohammadi
Keyword(s):  
Wilson Loops ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N

scholarly journals Phase transitions, double-scaling limit, and topological strings

2007 ◽  
Vol 75 (4) ◽  
Author(s):  
Nicola Caporaso ◽  
Luca Griguolo ◽  
Marcos Mariño ◽  
Sara Pasquetti ◽  
Domenico Seminara
Keyword(s):  
Phase Transitions ◽  
Topological Strings ◽  
Scaling Limit ◽  
Double Scaling Limit
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