scholarly journals Phase transitions inq-deformed 2D Yang-Mills theory and topological strings

2006 ◽  
Vol 73 (2) ◽  
Author(s):  
Xerxes Arsiwalla ◽  
Rutger Boels ◽  
Marcos Mariño ◽  
Annamaria Sinkovics
Keyword(s):  
Phase Transitions ◽  
Topological Strings ◽  
Yang Mills

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

scholarly journals NONPERTURBATIVE APPROACH TO YANG–MILLS THERMODYNAMICS

2005 ◽  
Vol 20 (18) ◽  
pp. 4123-4216 ◽  
Author(s):  
RALF HOFMANN
Keyword(s):  
State Physics ◽  
Phase Transitions ◽  
Density Of States ◽  
Ground State ◽  
Particle Physics ◽  
Scalar Fields ◽  
Temperature Evolution ◽  
Two Phase ◽  
Yang Mills ◽  
Massive Spin

An analytical and nonperturbative approach to SU(2) and SU(3) Yang–Mills thermodynamics is developed and applied. Each theory comes in three phases: A deconfining, a preconfining, and a confining one. We show how macroscopic and inert scalar fields emerge in each phase and how they determine the ground-state physics and the properties of the excitations. While the excitations in the deconfining and preconfining phases are massless or massive gauge modes the excitations in the confining phase are massless or massive spin-1/2 fermions. The nature of the two phase transitions is investigated for each theory. We compute the temperature evolution of thermodynamical quantities in the deconfining and preconfining phase and estimate the density of states in the confining phase. Some implications for particle physics and cosmology are discussed.

scholarly journals Anomalies in the space of coupling constants and their dynamical applications II

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
Clay Cordova ◽  
Daniel Freed ◽  
Ho Tat Lam ◽  
Nathan Seiberg
Keyword(s):  
Phase Transitions ◽  
Time Reversal ◽  
Discrete Symmetries ◽  
Gauge Theories ◽  
Coupling Constants ◽  
Global Symmetry ◽  
Flavor Symmetry ◽  
Fundamental Representation ◽  
Yang Mills ◽  
Simply Connected

We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group has a mixed anomaly between its one-form global symmetry (associated with the center) and the periodicity of the \thetaθ-parameter. This anomaly is at the root of many recently discovered properties of these theories, including their phase transitions and interfaces. These new anomalies can be used to extend this understanding to systems without discrete symmetries (such as time-reversal). We also study SU(N)SU(N) and Sp(N)Sp(N) gauge theories with matter in the fundamental representation. Here we find a mixed anomaly between the flavor symmetry group and the \thetaθ-periodicity. Again, this anomaly unifies distinct recently-discovered phenomena in these theories and controls phase transitions and the dynamics on interfaces.

scholarly journals Topological strings, two-dimensional Yang-Mills theory and Chern-Simons theory on torus bundles

2008 ◽  
Vol 12 (5) ◽  
pp. 981-1058 ◽  
Author(s):  
Nicola Caporaso ◽  
Michele Cirafici ◽  
Luca Griguolo ◽  
Sara Pasquetti ◽  
Domenico Seminara ◽  
...  
Keyword(s):  
Topological Strings ◽  
Simons Theory ◽  
Two Dimensional ◽  
Yang Mills ◽  
Torus Bundles ◽  
Chern Simons ◽  
Chern Simons Theory

Thermodynamic properties of modified hairy and BTZ black holes

2021 ◽  
pp. 2150068
Author(s):  
Muhammad Yasir ◽  
Kazuharu Bamba ◽  
Abdul Jawad
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Equations Of State ◽  
Massive Gravity ◽  
Black Hole Thermodynamics ◽  
Thermodynamic Quantities ◽  
Btz Black Hole ◽  
Yang Mills ◽  
First Order

We consider the Hairy black hole of dimensionally continued gravity with power-Yang–Mills magnetic source and Lorentz symmetry violating Bañados, Teitelboim and Zanelli (BTZ) black hole in massive gravity. We utilize the general form of first law of black hole thermodynamics and compute different thermodynamic quantities. Keeping in mind the importance of negative cosmological constant [Formula: see text], we derive corresponding equations of state and discuss the phase transitions which is comparable with chemical Van der Waals fluid. We also find out the critical points and observe that system exhibits first-order small as well as large black holes phase transitions.

scholarly journals D-Brane Configurations and Nicolai Map in Supersymmetric Yang–Mills Theory

1997 ◽  
Vol 12 (03) ◽  
pp. 183-193 ◽  
Author(s):  
I. I. Kogan ◽  
R. J. Szabo ◽  
G. W. Semenoff
Keyword(s):  
Quantum Mechanics ◽  
Phase Transitions ◽  
Matrix Model ◽  
Short Distance ◽  
Dimensional Theory ◽  
Yang Mills ◽  
Large N ◽  
The Matrix ◽  
M Theory ◽  
Matrix Quantum

We discuss some properties of a supersymmetric matrix model that is the dimensional reduction of supersymmetric Yang–Mills theory in 10 dimensions and which has been recently argued to represent the short-distance structure of M-theory in the infinite momentum frame. We describe a reduced version of the matrix quantum mechanics and derive the Nicolai map of the simplified supersymmetric matrix model. We use this to argue that there are no phase transitions in the large-N limit, and hence that S-duality is preserved in the full 11-dimensional theory.

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