scholarly journals Phase diagram of the large N Gross-Neveu model in a finite periodic box

2020 ◽  
Vol 101 (9) ◽  
Author(s):  
R. Narayanan
Keyword(s):  
Phase Diagram ◽  
Large N ◽  
Gross Neveu Model

PHASE DIAGRAM AND ORTHOGONAL POLYNOMIALS IN MULTIPLE-WELL MATRIX MODELS

1991 ◽  
Vol 06 (25) ◽  
pp. 4491-4515 ◽  
Author(s):  
OLAF LECHTENFELD ◽  
RASHMI RAY ◽  
ARUP RAY
Keyword(s):  
Phase Diagram ◽  
Orthogonal Polynomials ◽  
Matrix Models ◽  
Matrix Model ◽  
Phase Structure ◽  
Saddle Points ◽  
Tree Level ◽  
Potential Wells ◽  
Large N

We investigate a zero-dimensional Hermitian one-matrix model in a triple-well potential. Its tree-level phase structure is analyzed semiclassically as well as in the framework of orthogonal polynomials. Some multiple-arc eigenvalue distributions in the first method correspond to quasiperiodic large-N behavior of recursion coefficients for the second. We further establish this connection between the two approaches by finding three-arc saddle points from orthogonal polynomials. The latter require a modification for nondegenerate potential minima; we propose weighing the average over potential wells.

scholarly journals Updating the phase diagram of the Gross–Neveu model in 2+1 dimensions

2007 ◽  
Vol 657 (1-3) ◽  
pp. 136-142 ◽  
Author(s):  
Jean-Loïc Kneur ◽  
Marcus Benghi Pinto ◽  
Rudnei O. Ramos ◽  
Ederson Staudt
Keyword(s):  
Phase Diagram ◽  
Gross Neveu Model

scholarly journals SYMMETRIES IN THE GROSS-NEVEU PHASE DIAGRAM

2010 ◽  
Vol 25 (02n03) ◽  
pp. 616-626 ◽  
Author(s):  
GERALD V. DUNNE
Keyword(s):  
Phase Diagram ◽  
Chiral Symmetry ◽  
Nonlinear Equations ◽  
Chemical Potential ◽  
Ginzburg Landau ◽  
Akns Hierarchy ◽  
Gap Equation ◽  
Gross Neveu Model

The existence of crystalline condensates in the temperature and chemical potential phase diagram of the Gross-Neveu models can be traced to intricate symmetries of the associated inhomogeneous gap equation. The gap equation based on the Ginzburg-Landau expansion is precisely the mKdV or AKNS hierarchy of integrable nonlinear equations for the Gross-Neveu model with discrete or continuous chiral symmetry, respectively. The former model also has a dense-dilute symmetry that is due to the energy-reflection duality of the underlying quasi-exactly soluble spectral operators.

scholarly journals Polyakov loop models in the large N limit: Phase diagram at finite density

2022 ◽  
Vol 105 (1) ◽  
Author(s):  
O. Borisenko ◽  
V. Chelnokov ◽  
S. Voloshyn
Keyword(s):  
Phase Diagram ◽  
Polyakov Loop ◽  
Finite Density ◽  
Large N

scholarly journals Flavor broken QCD3 at large N

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Andrew Baumgartner
Keyword(s):  
Phase Diagram ◽  
Critical Points ◽  
First Order ◽  
Vacuum Structure ◽  
Large N

Abstract We examine the vacuum structure of QCD3 with flavor group U (f)×U (Nf−f) in the limit N → ∞ with g2N =fixed. We find that, generically, the resolution of critical points into a series of first order pahse transitions persists at special locations in the phase diagram. In particular, the number of Grassmannians that one traverses and their locations in the phase diagram is a function of f.

scholarly journals Mass generation in the large N Gross-Neveu-Model

1995 ◽  
Vol 169 (1) ◽  
pp. 121-180 ◽  
Author(s):  
C. Kopper ◽  
J. Magnen ◽  
V. Rivasseau
Keyword(s):  
Mass Generation ◽  
Large N ◽  
Gross Neveu Model

Mass generation in the large N Gross-Neveu model: a constructive proof without intermediate field

2021 ◽  
Author(s):  
Jeremie M. Unterberger
Keyword(s):  
Discrete Symmetry ◽  
Two Dimensions ◽  
Constructive Proof ◽  
Point Function ◽  
Large Component ◽  
Mass Generation ◽  
Bosonic Field ◽  
Large N ◽  
Discrete Symmetry Breaking ◽  
Gross Neveu Model

Abstract We give a new constructive proof of the infrared behavior of the Euclidean Gross-Neveu model in two dimensions with small coupling and large component number N. Our argument does not rely on the use of an intermediate (auxiliary bosonic) field. Instead bubble series are resummed by hand, and determinant bounds replaced by a control of local factorials relying on combinatorial arguments and Pauli's principle. The discrete symmetry-breaking is ensured by considering the model directly with a mass counterterm chosen in such a way as to cancel tadpole diagrams. Then the fermion two-point function is shown to decay (quasi-)exponentially as in [12]/

scholarly journals Phase diagram of the magnetized planar Gross-Neveu model beyond the large-Napproximation

2013 ◽  
Vol 88 (4) ◽  
Author(s):  
Jean-Loïc Kneur ◽  
Marcus Benghi Pinto ◽  
Rudnei O. Ramos
Keyword(s):  
Phase Diagram ◽  
Gross Neveu Model

scholarly journals Non-commutative Gross-Neveu model at large N

2001 ◽  
Vol 2001 (06) ◽  
pp. 009-009 ◽  
Author(s):  
Emil T Akhmedov ◽  
Philip DeBoer ◽  
Gordon W Semenoff
Keyword(s):  
Large N ◽  
Gross Neveu Model
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