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Related papers: Phase transition in the 3-D massive Gross-Neveu mo…

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While classical theory of phase transitions deals with systems where shape variation is energetically neutral, the account of rigidity can lead to the emergence of new thermodynamic features. One of them is a special type of critical points…

Materials Science · Physics 2024-04-18 Yury Grabovsky , Lev Truskinovsky

We perform an analytical and numerical study of the phase transitions in three-dimensional Z(N) lattice gauge theories at finite temperature for N>4 exploiting equivalence of these models with a generalized version of the two-dimensional…

High Energy Physics - Lattice · Physics 2015-06-05 O. Borisenko , V. Chelnokov , G. Cortese , R. Fiore , M. Gravina , A. Papa , I. Surzhikov

The non-commutative O(N) Gross-Neveu model is solved in the large N limit in two and three space-time dimensions. The commutative version of the two dimensional model is a renormalizable quantum field theory, both in a coupling constant…

High Energy Physics - Theory · Physics 2009-11-07 Emil T. Akhmedov , Philip DeBoer , Gordon W. Semenoff

The 3d SU(2)-Higgs model is used to find the critical Higgs mass above which the first order phase transition ends. One method is focused on the disappearance of the two-state signal of the scalar condensate (vanishing of the latent heat).…

High Energy Physics - Lattice · Physics 2009-10-30 M. Gürtler , E. -M. Ilgenfritz , A. Schiller

Phase transitions can occur in one-dimensional classical statistical mechanics at non-zero temperature when the number of components N of the spin is infinite. We show how to solve such magnets in one dimension for any N, and how the phase…

Strongly Correlated Electrons · Physics 2007-05-23 Paul Fendley , Oleg Tchernyshyov

For an FLRW model, thermodynamic phase transitions are investigated in the Einstein-Gauss-Bonnet gravity framework. Using the work density, the equation of state is derived, and the criticality conditions are employed to determine the…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Joel F. Saavedra , Francisco Tello-Ortiz

(2+1) dimensional gravity is equivalent to an exactly soluble non-Abelian Chern-Simons gauge field theory (E Witten 1988). Regarding this as the topological phase of quantum gravity in (2+1)d, we suggest a topological symmetry breaking by…

High Energy Physics - Theory · Physics 2007-05-23 Wei Chen

The phase diagram of the Gross-Neveu model in $2+1$ space-time dimensions at non-zero temperature and chemical potential is studied in the limit of infinitely many flavors, focusing on the possible existence of inhomogeneous phases, where…

High Energy Physics - Lattice · Physics 2021-02-10 Michael Buballa , Lennart Kurth , Marc Wagner , Marc Winstel

The vacuum of a large-N gauge field on a p-torus has a spatial stress tensor with tension along the direction of smallest periodicity and equal pressures (but p times smaller in magnitude) along the other directions, assuming an AdS/CFT…

High Energy Physics - Theory · Physics 2008-11-26 Don N. Page

The phase transition of the Gross-Neveu model with N fermions is investigated by means of a non-perturbative evolution equation for the scale dependence of the effective average action. The critical exponents and scaling amplitudes are…

High Energy Physics - Theory · Physics 2009-10-31 L. Rosa , P. Vitale , C. Wetterich

We study the thermodynamics of the 2+1 dimensional Gross-Neveu model in the presence of a chemical potential by introducing a representation for the canonical partition function which encodes both real and imaginary chemical potential…

High Energy Physics - Theory · Physics 2009-10-31 H. R. Christiansen , A. C. Petkou , M. B. Silva Neto , N. D. Vlachos

Nuclear matter at finite temperature and barion density exhibits several phase transitions that could happen at the early stages of the Universe evolution and could be realized in heavy-ion or hadron-hadron collisions. Microscopic…

High Energy Physics - Phenomenology · Physics 2015-02-26 V. I. Yukalov , E. P. Yukalova

We study the phases of Yukawa theories at weak coupling and the Gross-Neveu models in AdS spaces at zero and finite temperature. Following the method used in \cite{Kakkar:2022hub}, we first compute the one-loop partition functions, using…

High Energy Physics - Theory · Physics 2023-06-21 Astha Kakkar , Swarnendu Sarkar

We study the SU(2) gauge theory with scalar matter in the adjoint representation in 3D at finite temperature. We find evidence for a finite temperature phase transition both in the symmetric and in the broken phase; such transitions are…

High Energy Physics - Lattice · Physics 2009-11-10 A. Barresi , L. Del Debbio , B. Lucini

Using the Matsubara formalism, we consider the massive $(\lambda \phi^{4})_{D}$ vector $N$-component model in the large $N$ limit, the system being confined between two infinite paralell planes. We investigate the behavior of the coupling…

Statistical Mechanics · Physics 2008-11-26 A. P. C. Malbouisson , J. M. C. Malbouisson

The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the…

High Energy Physics - Lattice · Physics 2024-04-25 Rafael C. Torres , Nuno Cardoso , Pedro Bicudo , Pedro Ribeiro , Paul McClarty

One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how…

Quantum Gases · Physics 2013-07-01 Thierry Jolicoeur , Evgeni Burovski , Giuliano Orso

We investigate the massive Schwinger model in $d=1+1$ dimensions using bosonization and the nonperturbative functional renormalization group. In agreement with previous studies we find that the phase transition, driven by a change of the…

High Energy Physics - Theory · Physics 2022-02-02 Patrick Jentsch , Romain Daviet , Nicolas Dupuis , Stefan Floerchinger

We study the phase transition in SU(2)-Higgs model on the lattice using the 3D dimensionally reduced formalism. The 3D formalism enables us to obtain highly accurate Monte Carlo results, which we extrapolate both to the infinite volume and…

High Energy Physics - Lattice · Physics 2009-10-28 K. Farakos , K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

We show that the chiral Gross-Neveu model in $2+ \epsilon$ dimensions has for a small number $N$ of fermions two phase transitions corresponding to pair formation and pair condensation. In the first transition, fermions and antifermions…

High Energy Physics - Theory · Physics 2009-10-31 H. Kleinert , E. Babaev