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Related papers: Heating the O(N) nonlinear sigma model

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We propose a novel method for renormalization group improvement of thermally resummed effective potential. In our method, $\beta$-functions are temperature dependent as a consequence of the divergence structure in resummed perturbation…

High Energy Physics - Phenomenology · Physics 2024-03-29 Koichi Funakubo , Eibun Senaha

We present simulation data of first-order isotropic-to-nematic transitions in lattice models of liquid crystals and locate the thermodynamic limit inverse transition temperature $\epsilon_\infty$ via finite-size scaling. We observe that the…

Statistical Mechanics · Physics 2009-06-24 J. M. Fish , R. L. C. Vink

The thermodynamic properties of a one-dimensional model describing spin dynamics in the presence of a twofold orbital degeneracy are studied numerically using the transfer-matrix renormalization group (TMRG). The model contains an…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker

We have computed through order $\beta^{21}$ the high-temperature expansions for the nearest-neighbor spin correlation function $G(N,\beta)$ of the classical N-vector model, with general N, on the simple-cubic and on the body-centered-cubic…

High Energy Physics - Lattice · Physics 2009-10-31 P. Butera , M. Comi

We consider the supersymmetric Wess-Zumino model at large $N$ in $(2+1)$ dimension. We introduce a chemical potential($\mu$) at finite temperature($T$). The non-trivial fixed point of this model is described by a pair of coupled gap…

High Energy Physics - Theory · Physics 2025-08-22 Srijan Kumar

Nonperturbative flow equations within an effective linear sigma model coupled to constituent quarks for two quark flavors are derived and solved. A heat kernel regularization is employed for a renormalization group improved effective…

Nuclear Theory · Physics 2009-10-31 B. -J. Schaefer , H. -J. Pirner

Using an approach developed in the context of zero-temperature QCD to systematically sum higher order effects whose form is fixed by the renormalization group equation, we sum to all orders the leading log (LL) and next-to-leading log (NLL)…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. G. C. McKeon , A. Rebhan

The two-dimensional O(3) nonlinear sigma model is a well known toy model for studying non-perturbative phenomena in quantum field theory. A central challenge is the renormalization of the energy-momentum tensor, which is complicated by the…

High Energy Physics - Lattice · Physics 2026-05-08 Mika Lauk , Agostino Patella

Some lattice models having two conservation laws may display an equilibrium phase transition from a homogeneous (positive temperature - PT) to a condensed (negative temperature) phase, where a finite fraction of the energy is localized in a…

Statistical Mechanics · Physics 2025-05-28 Michele Giusfredi , Stefano Iubini , Antonio Politi , Paolo Politi

We obtain the non-perturbative effective potential for the dual five-dimensional N=4 strings in the context of finite-temperature regarded as a breaking of supersymmetry into four space-time dimensions. Using the properties of gauged N=4…

High Energy Physics - Theory · Physics 2007-05-23 I. Antoniadis , J. -P. Derendinger , C. Kounnas

The spatial fluctuations of a superfluid flowing in a weak random potential are investigated. We employ classical field theory to demonstrate that the disorder-averaged nonequilibrium second-order correlation of the order parameter at zero…

Quantum Gases · Physics 2021-01-04 Taiki Haga , Masahito Ueda

We examine the concept of temperature in non-equilibrium steady states. Using the D3-D5 model of gauge/gravity duality, we investigate spontaneous symmetry breaking in a relativistic (2+1)-dimensional defect moving at constant velocity…

High Energy Physics - Theory · Physics 2025-08-13 Shin Nakamura , Fuminori Okabayashi

Starting from the Phi-derivable approximation scheme at leading-loop order, the thermodynamical potential in a hot scalar theory, as well as in QED and QCD, is expressed in terms of hard thermal loop propagators. This nonperturbative…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andre Peshier

Correlation functions of most composite operators decay exponentially with time at non-zero temperature, even in free field theories. This insight was recently codified in an OTH (operator thermalisation hypothesis). We reconsider an early…

High Energy Physics - Theory · Physics 2020-10-28 Julius Engelsöy , Jorge Larana-Aragon , Bo Sundborg , Nico Wintergerst

Field theory at nonvanishing temperature beyond perturbation theory is discussed for the $N$-component $O(N)$-symmetric scalar theory. We compute the effective potential directly in three dimensions using an exact evolution equation for an…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Berges

In 2+1 dimensions, we propose a renormalizable non-linear sigma model action which describes the $\mathcal{N}=2$ supersymmetric generalization of Galilean Electrodynamics. We first start with the simplest model obtained by null reduction of…

High Energy Physics - Theory · Physics 2022-10-19 Stefano Baiguera , Lorenzo Cederle , Silvia Penati

Two-dimensional $O(N)$ non-linear sigma models are exactly solvable theories and have many applications, from statistical mechanics to their use as QCD toy models. We consider a supersymmetric extension, the non-linear sigma model on the…

High Energy Physics - Lattice · Physics 2022-12-23 Ilaria Costa , Valentina Forini , Ben Hoare , Tim Meier , Agostino Patella , Johannes Heinrich Weber

The finite temperature one-loop effective potential for a scalar field defined on an ultrastatic spacetime, whose spatial part is a compact hyperbolic manifold, is studied. Different analytic expressions, especially valuable at low and high…

High Energy Physics - Theory · Physics 2011-08-17 Guido Cognola , Klaus Kirsten , Luciano Vanzo , Sergio Zerbini

We show that an high temperature expansion at fixed order parameter can be derived for the quantum Ising model. The basic point is to consider a statistical generating functional associated to the local spin state. The probability at…

Statistical Mechanics · Physics 2007-05-23 F. De Pasquale , S. M. Giampaolo

We discuss the thermodynamics of the O(N) model across the corresponding phase transition using the two-loop Phi-derivable approximation of the effective potential and compare our results to those obtained in the literature within the…

High Energy Physics - Phenomenology · Physics 2013-06-04 Gergely Markó , Urko Reinosa , Zsolt Szép