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Related papers: The Massive Multi-flavor Schwinger Model

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The fermion flavor $N_f$ dependence of non-perturbative solutions in the strong coupling phase of the gauge theory is reexamined based on the interrelation between the inversion method and the Schwinger-Dyson equation approach. Especially…

High Energy Physics - Theory · Physics 2009-10-28 Kei-Ichi Kondo , Takuya Iizuka , Eiji Tanaka , Toru Ebihara

We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter - either bosonic or fermionic. Symmetries, their 't Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk…

High Energy Physics - Theory · Physics 2023-11-22 Mohamed M. Anber , Nakarin Lohitsiri , Tin Sulejmanpasic

In topologically massive QED$_{2+1}$ with $N$ flavours, there is the possibility that two equal-charged fermions can form a bound state pair in either s-wave or p-wave. We are concerned about the s-wave pairs and obtain the low energy…

High Energy Physics - Theory · Physics 2009-10-28 Jae Kwan Kim , Hyeonjoon Shin

We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model is motivated by physical arguments suggesting that it provides an effective description of spinless fermions on a…

Mathematical Physics · Physics 2013-08-26 Jonas de Woul , Edwin Langmann

We report results of simulations of the $2+1d$ Thirring model with $N$ fermion flavors, defined on a lattice using domain wall fermions. This approach is devised to respect as far as possible the underlying U($2N$) symmetry of the continuum…

High Energy Physics - Lattice · Physics 2021-10-11 Simon Hands , Michele Mesiti , Jude Worthy

We study the quantum theory of a Fermi surface coupled to a gapless boson scalar in $D=4-\epsilon$ spacetime dimensions as a simple model for non-Fermi liquids (NFL) near a quantum phase transition. Our analysis takes into account the full…

Strongly Correlated Electrons · Physics 2014-11-21 Gonzalo Torroba , Huajia Wang

We discuss bosonized two-dimensional QCD with massless fermions in the adjoint and multi-flavor fundamental representations. We evaluate the massive mesonic spectra of several models by using the light-front quantization and diagonalizing…

High Energy Physics - Theory · Physics 2009-10-28 A. Armoni , J. Sonnenschein

We investigate the mesonic light-front bound-state equations of the 't Hooft and Schwinger model in the two-particle, i.e. valence sector, for small fermion mass. We perform a high precision determination of the mass and light-cone wave…

High Energy Physics - Theory · Physics 2009-10-30 Koji Harada , Thomas Heinzl , Christian Stern

We study a massive Thirring-like model in 2-dimensional space-time, which contains fermions with arbitrary number (N) of different species. This model is an extension of that of a previous paper, where we have considered two-species case.…

High Energy Physics - Theory · Physics 2007-05-23 Jiro Sakamoto , Yasuaki Fukuoka

U(1) gauge theory of non-relativistic fermions interacting via compact U(1) gauge fields in the presence of a Fermi surface appears as an effective field theory in low dimensional quantum antiferromagnetism and heavy fermion liquids. We…

Strongly Correlated Electrons · Physics 2009-11-11 Ki-Seok Kim

We discuss the possibility of extracting phase shifts from finite volume energies for meson-meson scattering, where the mesons are fermion-antifermion bound states of the massive Schwinger model with SU(2) flavour symmetry. The existence of…

High Energy Physics - Lattice · Physics 2016-09-01 C. Gutsfeld , H. A. Kastrup , K. Stergios , J. Westphalen

Large-N volume independence in circle-compactified QCD with N_f \geq 1 adjoint Weyl fermions implies the absence of any phase transitions as the radius is dialed to arbitrarily small values. This class of theories are believed to possess a…

High Energy Physics - Theory · Physics 2014-01-22 Gokce Basar , Aleksey Cherman , Daniele Dorigoni , Mithat Unsal

The Sommerfield model with a massive vector field coupled to a massless fermion in 1+1 dimensions is an exactly solvable analog of a Bank-Zaks model. The `physics' of the model comprises a massive boson and an unparticle sector that…

High Energy Physics - Theory · Physics 2020-01-08 Howard Georgi

We evaluate partition functions $Z_I$ in topologically nontrivial (instanton) gauge sectors in the bosonized version of the Schwinger model and in a gauged WZNW model corresponding to $QCD_2$ with adjoint fermions. We show that the…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Smilga

Fermionic theories with a vanishing chiral condensate (in the chiral limit) have recently attracted considerable interest; in particular variants of multi-flavour QCD are candidates for this behaviour. Here we consider the 2-flavour…

High Energy Physics - Lattice · Physics 2020-07-14 Wolfgang Bietenholz , Ivan Hip , David Landa-Marbán

We construct the gauge invariant fermion correlator in the Schwinger model on the torus. At zero temperature, this correlator falls off with a rate given by the Coulomb energy of an infinitely heavy charge. At high temperature, the…

High Energy Physics - Theory · Physics 2009-10-28 James Steele , Jacobus Verbaarschot , Ismail Zahed

We consider the canonical quantization of a generalized two-dimensional massive fermion theory containing higher odd-order derivatives. The requirements of Lorentz invariance, hermiticity of the Hamiltonian and absence of tachyon…

High Energy Physics - Theory · Physics 2009-10-31 L. V. Belvedere , R. L. P. G. Amaral , C. G. Carvalhaes , N. A. Lemos

In this paper we examine a phase transition in $SU(N_{c})$ gauge theories governed by the existence of an infrared fixed point of the renormalization group $\beta$ function. The nonlinear integral Schwinger-Dyson equation for a mass…

High Energy Physics - Phenomenology · Physics 2007-10-09 Oleksandr Gromenko

We present a detailed Hamiltonian treatment of an inhomogeneous fermionic perturbation propagating on a closed FLRW spacetime quantized via LQC. Expanding the fermion in spinor harmonics on spatial 3-sphere and truncating at quadratic…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Yaser Tavakoli , Ahad K. Ardabili , Sara Mosaddegh

The expression for the dynamical mass of fermions in QED in a magnetic field is obtained for a large number of the fermion flavor N in the framework of 1/N expansion. The existence of a threshold value N_{thr}, dividing the theories with…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy
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