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We describe the Feynman rules for the construction of the Dimensionally Reduced Action (DRA) for a phi^4 field theory, as well as rules for the construction of the connected Green functions and the Dimensionally Reduced Effective Action…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Villavicencio , C. A. A. de Carvalho

We present a detailed study of the real-time dynamics and spectral properties of the one-dimensional fermionic Hubbard model at infinite temperature. Using tensor network simulations in Liouville space, we compute the single-particle…

Strongly Correlated Electrons · Physics 2025-09-26 Cătălin Paşcu Moca , Ovidiu I. Patu , Balázs Dóra , Gergely Zaránd

In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

We consider a many body fermionic system with an incommensurate external potential and a short range interaction in one dimension. We prove that, for certain densities and weak interactions, the zero temperature thermodynamical correlations…

Strongly Correlated Electrons · Physics 2016-02-23 Vieri Mastropietro

We discuss the critical properties of the three-dimensional NJL model at nonzero temperature. We show that the Z(2)-symmetric model undergoes a second order phase transition with 2d Ising exponents and its critical region is suppressed by a…

High Energy Physics - Phenomenology · Physics 2017-08-23 Costas G. Strouthos

Studying various thermodynamic quantities for the free domain wall fermions for both finite and infinite fifth dimensional extent N_5, we find that the lattice corrections are minimum for $N_T\geq10$ for both energy density and…

High Energy Physics - Lattice · Physics 2009-11-06 R. V. Gavai , Sayantan Sharma

Models with radiative symmetry breaking typically feature strongly supercooled first-order phase transitions, which result in an observable stochastic gravitational wave background. In this work, we analyse the role of higher order thermal…

High Energy Physics - Phenomenology · Physics 2024-03-15 Maciej Kierkla , Bogumila Swiezewska , Tuomas V. I. Tenkanen , Jorinde van de Vis

We present a field-theoretic renormalization group analysis of Abanov and Chubukov's model of the spin density wave transition in two dimensional metals. We identify the independent field scale and coupling constant renormalizations in a…

Strongly Correlated Electrons · Physics 2010-08-24 Max A. Metlitski , Subir Sachdev

Dimensionality reduction in mechanical vibratory systems poses challenges for distributed structures including geometric nonlinearities, mainly because of the lack of invariance of the linear subspaces. A reduction method based on direct…

Numerical Analysis · Mathematics 2022-05-26 Andrea Opreni , Alessandra Vizzaccaro , Attilio Frangi , Cyril Touzé

We investigate the frequency and temperature dependence of the low-energy electron dynamics in a Landau Fermi liquid with a local self-energy. We show that the frequency and temperature dependencies of the optical conductivity obey…

Strongly Correlated Electrons · Physics 2013-03-08 Christophe Berthod , Jernej Mravlje , Xiaoyu Deng , Rok Žitko , Dirk van der Marel , Antoine Georges

We investigate the thermal properties of $\mathcal{PT}$-symmetric scalar field theories with purely imaginary couplings. The free energy governs the asymptotic density of states, providing an effective measure of the number of degrees of…

High Energy Physics - Theory · Physics 2026-04-10 Oleksandr Diatlyk , Andrei Katsevich , Fedor K. Popov

Dimensional reduction of finite temperature quantum field theories can be improved with help of continous renormalisation group steps. The method is applied to the integration of the lowest non-static ($n=\pm 1$) modes of the finite…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Patkós , P. Petreczky , J. Polonyi

We investigate finite-temperature observables in three-dimensional large $N$ critical vector models taking into account the effects suppressed by $1\over N$. Such subleading contributions are captured by the fluctuations of the…

High Energy Physics - Theory · Physics 2024-04-24 Oleksandr Diatlyk , Fedor K. Popov , Yifan Wang

The thermodynamic properties of a nonrelativistic free-electron Fermi gas is of fundamental interest in condensed matter physics. Properties previously studied in three-dimensions (3D) in the low- and high-temperature limits include the…

Statistical Mechanics · Physics 2021-05-13 David C. Johnston

We study a four-dimensional low-energy effective field theory derived from extra dimensional field theories with general gauge backgrounds. We find that products among fermionic zero-modes and lightest scalar modes are expanded by other…

High Energy Physics - Theory · Physics 2019-07-31 Masaki Honda , Tatsuo Kobayashi , Hajime Otsuka

Exact results of the finite-size behavior of the susceptibility in three-dimensional mean spherical model films under Dirichlet-Dirichlet, Dirichlet-Neumann and Neumann-Neumann boundary conditions are presented. The corresponding scaling…

Statistical Mechanics · Physics 2009-11-10 Daniel M. Dantchev , Jordan G. Brankov

The (discrete) Gross-Neveu model is studied in a lattice realization with an N-component Majorana Wilson fermion field. It has an internal O(N) symmetry in addition to the euclidean lattice symmetries. The discrete chiral symmetry for…

High Energy Physics - Lattice · Physics 2008-11-26 Ulli Wolff

We show that a Nambu-Jona-Lasinio type four-fermion coupling at the z=3 Lifshitz-like fixed point in 3+1 dimensions is asymptotically free and generates a mass scale dynamically. This result is nonperturbative in the limit of a large number…

High Energy Physics - Theory · Physics 2013-05-29 Avinash Dhar , Gautam Mandal , Spenta R. Wadia

Representing the time-evolution operator as a tensor network constitutes a key ingredient in several algorithms for studying quantum lattice systems at finite temperature or in a non-equilibrium setting. For a Hamiltonian composed of…

Strongly Correlated Electrons · Physics 2026-02-26 Sander De Meyer , Atsushi Ueda , Yuchi He , Nick Bultinck , Jutho Haegeman

We discuss a recently introduced strategy to study non-perturbatively thermal QCD up to temperatures of the order of the electro-weak scale, combining step scaling techniques and shifted boundary conditions. The former allow to renormalize…

High Energy Physics - Lattice · Physics 2024-11-22 Leonardo Giusti , Davide Laudicina , Matteo Bresciani , Mattia Dalla Brida , Tim Harris , Michele Pepe , Pietro Rescigno
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