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We present a thermodynamically consistent model of a ternary fluid interacting with elastic membranes. Following a free-energy modelling approach and taking into account the thermodynamics laws, we derive the equations governing the ternary…

Soft Condensed Matter · Physics 2021-02-17 Marianna Pepona , Alvin C. M. Shek , Ciro Semprebon , Timm Krüger , Halim Kusumaatmaja

We extend a recently proposed non-local version of Coleman's equivalence between the Thirring and sine-Gordon models to the case in which the original fermion fields interact with fixed impurities. We explain how our results can be used in…

High Energy Physics - Theory · Physics 2009-10-31 Victoria Fernandez , Kang Li , Carlos Naon

We consider a classical field theory whose equations of motion follow from the least action principle, but the class of admissible trajectories is restricted by differential equations. The key element of the proposed construction is the…

Mathematical Physics · Physics 2025-08-14 Simon Lyakhovich , Nikita Sinelnikov

A coupled massive Thirring model of two interacting Dirac spinors in $1+1$ dimensions with fields taking values in a Grassmann algebra is introduced, which is closely related to a SU(1,1) version of the Grassmannian Thirring model also…

Exactly Solvable and Integrable Systems · Physics 2023-11-14 B. Basu-Mallick , F. Finkel , A. González-López , D. Sinha

We study the Gauged Thirring Model (also known as Kondo Model) in thermodynamic equilibrium using the Matsubara-Fradkin-Nakanishi formalism. In this formulation, both the temperature and the chemical potential are kept to be nonvanishing.…

High Energy Physics - Theory · Physics 2018-01-30 C. A. Bonin , B. M. Pimentel

We suggest a mechanism explaining the origin of three generations of the Standard Model fermions from one generation in a higher-dimensional theory. Four-dimensional fermions appear as zero modes trapped in the core of a topological defect…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. V. Libanov , S. V. Troitsky

The method of variational bootstrapping, based on canonical variational completion, allows one to construct a Lagrangian for a physical theory depending on two sets of field variables, starting from a guess of the field equations for only…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Ludovic Ducobu , Nicoleta Voicu

In this paper we start from the original formulation of the galileon model with the original choice for couplings to gravity. Within this framework we find that there is still a subset of possible Lagrangians that give selfaccelerating…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-04 David F. Mota , Marit Sandstad , Tom Zlosnik

Recent supernovae of type Ia measurements and other astronomical observations suggest that our universe is in accelerating phase of evolution at the present epoch. While a dark energy of unknown form is usually proposed as the most feasible…

Astrophysics · Physics 2008-11-26 Andrzej Borowiec , Wlodzimierz Godlowski , Marek Szydlowski

Starting from a reformulation of the Thirring model as a gauge theory, we consider the bosonization of the $D$-dimensional multiflavor massive Thirring model $(D \ge 2)$ with four-fermion interaction of the current-current type. Our method…

High Energy Physics - Theory · Physics 2009-10-28 Kei-Ichi Kondo

We investigate the equivalence between Thirring model and sine-Gordon model in the chirally broken phase of the Thirring model. This is unlike all other available approaches where the fermion fields of the Thirring model were quantized in…

High Energy Physics - Theory · Physics 2009-01-07 M. Faber , A. N. Ivanov

Relativistic fermionic field theories constitute the fundamental description of all observable matter. The simplest of the models provide a useful, classically verifiable benchmark for noisy intermediate scale quantum computers. We…

Quantum Physics · Physics 2020-06-11 Chinmay Mishra , Shane Thompson , Raphael Pooser , George Siopsis

We calculate the effective electromagnetic Lagrangian up to the lowest-order corrections in the derivatives for two fermionic systems of interest in condensed matter physics in the linearized approximation of the tight-binding Hamiltonian…

High Energy Physics - Theory · Physics 2025-04-01 R. Martínez von Dossow , Luis F. Urrutia

Certain momentum-dependent terms in the fermion sector of the Lorentz-violating Standard Model Extension (SME) yield solvable classical lagrangians of a type not mentioned in the literature. These cases yield new relatively simple examples…

High Energy Physics - Phenomenology · Physics 2013-05-30 Don Colladay , Patrick McDonald

Some years ago, it was shown how fermion self-interacting terms of the Thirring-type impact the usual structure of massless two-dimensional gauge theories [1]. In that work only the cases of pure vector and pure chiral gauge couplings have…

High Energy Physics - Theory · Physics 2008-11-26 D. Dalmazi , A. de Souza Dutra

A transgression form is proposed as lagrangian for a gauge field theory. The construction is first carried out for an arbitrary Lie Algebra g and then specialized to some particular cases. We exhibit the action, discuss its symmetries,…

High Energy Physics - Theory · Physics 2007-05-23 Fernando Izaurieta , Eduardo Rodríguez , Patricio Salgado

We construct the non-standard Lagrangian, called the multiplicative form, of the homogeneous scalar field and fermion field through the inverse calculus of variations, which the equation of motion still satisfies the Klein-Gordon and Dirac…

High Energy Physics - Theory · Physics 2023-11-21 Suppanat Supanyo , Monsit Tanasittikosol , Sikarin Yoo-Kong

We develop a new approach for bosonization based on the direct comparison of current correlation functions and apply it to the case of the Massive Thirring Model in three dimensions in the weak coupling regime, but with an arbitrary mass.…

High Energy Physics - Theory · Physics 2009-10-30 R. Banerjee , E. C. Marino

We introduce a method to obtain deformed defects starting from a given scalar field theory which possesses defect solutions. The procedure allows the construction of infinitely many new theories that support defect solutions, analytically…

High Energy Physics - Theory · Physics 2009-11-07 D. Bazeia , L. Losano , J. M. C. Malbouisson

We present a new method to calculate formation of cosmological structure in the Newtonian limit. The method is based on Lagrangian perturbation theory plus two key theoretical extensions. One advance involves identifying and fixing a…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-15 Sharvari Nadkarni-Ghosh , David F. Chernoff