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A method to perform bosonization of a fermionic theory in (1+1) dimensions in a path integral framework is developed. The method relies exclusively on the path integral property of allowing variable shifts, and does not depend on the…

High Energy Physics - Theory · Physics 2009-10-31 Jan B. Thomassen

We consider the quantum kinetic-theory description for interacting massive spin-half fermions using the Wigner function formalism. We derive a general kinetic theory description assuming that the spin effects appear at the classical and…

High Energy Physics - Theory · Physics 2023-09-11 Arpan Das , Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski , Rajeev Singh

We study spin relaxation and dynamics of collective spin excitations in correlated double--exchange ferromagnets. For this, we introduce an expansion of the Green's functions equations of motion that treats non--perturbativerly all…

Strongly Correlated Electrons · Physics 2008-10-29 M. D. Kapetanakis , I. E. Perakis

We consider a half-filled system of spin-1/2 fermions on a triangular ladder with spin-dependent hopping in the presence of spin-dependent flux. Using the Schrieffer-Wolff transformation, we derive an effective spin Hamiltonian describing…

Strongly Correlated Electrons · Physics 2026-03-11 Shota Garuchava , Bachana Beradze , Tatia Sharia , George I. Japaridze

I shortly describe semi-classical models of spinning electron and list a number of theoretical issues where these models turn out to be useful, see arXiv:1710.07135 for details. Then I discuss the possibility to extend the range of…

Quantum Physics · Physics 2020-12-01 Alexei A. Deriglazov

We explore the dynamical behavior and energetic properties of a model of two species that interact nonlocally on finite graphs. The authors recently introduced the model in the context of nonquadratic Finslerian gradient flows on…

Analysis of PDEs · Mathematics 2022-04-21 Georg Heinze , Jan-Frederik Pietschmann , Markus Schmidtchen

We consider a two dimensional itinerant SYK model of spin-less fermions, with a linear dispersion, interacting via random long range all-to-all interactions. In the large-N limit, we find an asymptotic power series solution of the…

Strongly Correlated Electrons · Physics 2019-03-05 T. Tzen Ong

We nonperturbatively investigate a fermion spectrum at finite temperature in a chiral invariant linear sigma model. Coupled Schwinger-Dyson equations for fermion and boson are developed in the real time formalism and solved numerically.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Masayasu Harada , Yukio Nemoto

Muon spin relaxation is a powerful technique for probing static and dynamic local magnetic fields. The strong collision model, based on a Gaussian-Markovian process, is commonly used to account for dynamical effects. Yet, it remains limited…

Strongly Correlated Electrons · Physics 2025-09-01 Ola Kenji Forslund

Unraveling general properties of Green's functions of quantum dissipative systems is of both experimental relevance and theoretical interest. Here, we study the spin-boson model as a prototype. By utilizing the Majorana- Fermion…

Mesoscale and Nanoscale Physics · Physics 2017-07-24 Junjie Liu , Hui Xu , Changqin Wu

Interacting spin-boson models encompass a large class of physical systems, spanning models with a single spin interacting with a bosonic bath -- a paradigm of quantum impurity problems -- to models with many spins interacting with a cavity…

Quantum Physics · Physics 2023-09-22 Naushad A. Kamar , Mohammad Maghrebi

We compare different versions of a bosonic description for systems of interacting fermions, with particular emphasis on the free energy functional. The bosonic effective action makes the issue of symmetries particularly transparent and we…

Strongly Correlated Electrons · Physics 2013-05-29 Christof Wetterich

Nonreciprocal active matter systems typically feature an asymmetric role among interacting agents, such as a pursuer-evader relationship. We propose a multi-species nonreciprocal active matter model that is invariant under permutations of…

Statistical Mechanics · Physics 2025-12-23 Chul-Ung Woo , Heiko Rieger , Jae Dong Noh

Bosonization of the Schwinger model with noncommutative chiral bosons is considered on a spacetime of cylinder topology. Using point splitting regularization, manifest gauge invariance is maintained throughout. Physical consequences are…

High Energy Physics - Theory · Physics 2017-08-23 Joseph Ben Geloun , Jan Govaerts , M. Norbert Hounkonnou

Parafermions that generalize (Majorana or usual) fermions appear as interacting quasi-particles because of their nature. Although attempts to develop models with free (non-interacting) parafermions have been undertaken, existing proposals…

Quantum Gases · Physics 2022-03-08 A. S. Mastiukova , D. V. Kurlov , V. Gritsev , A. K. Fedorov

We consider two particular 1D quantum many-body systems with local interactions related to the root system $C_N$. Both models describe identical particles moving on the half-line with non-trivial boundary conditions at the origin, and they…

Mathematical Physics · Physics 2009-11-10 Martin Hallnäs , Edwin Langmann

We analyze the connection between Wess-Zumino-Witten and free fermion models in two-dimensional noncommutative space. Starting from the computation of the determinant of the Dirac operator in a gauge field background, we derive the…

High Energy Physics - Theory · Physics 2009-10-31 E. F. Moreno , F. A. Schaposnik

We propose an interaction flow scheme that sums up the perturbation expansion of many-particle systems by successively increasing the interaction strength. It combines the unbiasedness of renormalization group methods with the simplicity of…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Honerkamp , Daniel Rohe , Sabine Andergassen , Tilman Enss

In this paper, a variational perturbation scheme for nonrelativistic many-Fermion systems is generalized to a Bosonic system. By calculating the free energy of an anharmonic oscillator model, we investigated this variational expansion…

Quantum Physics · Physics 2009-11-06 Wen-Fa Lu , Sang Koo You , Jino Bak , Chul Koo Kim , Kyun Nahm

We perform a non-perturbative analysis of the dynamics of a two-level quantum system subjected to repeated interactions with a bosonic environment when these interactions are intense and localized in time. We use the Weyl relations to…

Quantum Physics · Physics 2020-02-07 José de Ramón , Eduardo Martin-Martinez