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Related papers: More About the Massive Multi-flavor Schwinger Mode…

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QED with N species of massive fermions on a circle of circumference L is analyzed by bosonization. The problem is reduced to the quantum mechanics of the 2N fermionic and one gauge field zero modes on the circle, with nontrivial…

High Energy Physics - Theory · Physics 2016-09-06 J. E. Hetrick , Y. Hosotani , S. Iso

The multi-flavor Schwinger model on $R^1$ at finite temperature $T$ is mathematically equivalent to the model on $S^1$ at $T=0$. The latter is reduced to a quantum mechanical system of $N-1$ degrees of freedom. Physics sensitively depends…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Hosotani

The Schwinger model (QED_2) with N flavors of massive fermions on a circle of circumference L, or equivalently at finite temperature T, is reduced to a quantum mechanical system of N-1 degrees of freedom. With degenerate fermion masses (m)…

High Energy Physics - Theory · Physics 2009-10-28 J. E. Hetrick , Y. Hosotani , S. Iso

The massive N-flavor Schwinger model is analyzed by the bosonization method. The problem is reduced to the quantum mechanics of N degrees of freedom in which the potential needs to be self-consistently determined by its ground-state wave…

High Energy Physics - Theory · Physics 2008-11-26 Yutaka Hosotani , Ramon Rodriguez

Using the approach developed in [V. Azcoiti, G. Di Carlo, A. Galante, V. Laliena, \textit{Phys. Lett.} \textbf{B563}, (2003) 117], we are able to reconstruct the behavior of the massive 1-flavor Schwinger model with a $\theta$ term and a…

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

We consider the N_f-flavour Schwinger Model on a thermal cylinder of circumference $\beta=1/T$ and of finite spatial length $L$. On the boundaries $x^1=0$ and $x^1=L$ the fields are subject to an element of a one-dimensional class of…

High Energy Physics - Theory · Physics 2009-10-31 Stephan Dürr

We study thermodynamic properties of the Schwinger model on a torus with f flavors of massless fermions and flavor-dependent chemical potentials. Generalizing the two-flavor case, we present a representation of the partition function in the…

High Energy Physics - Lattice · Physics 2013-11-01 Robert Lohmayer , Rajamani Narayanan

The problem of meson bound states with $N_f$ massive fermions in two dimensional quantum electrodynamics is discussed. We speculate about the spectrum of the lightest particles by means of the effective semiclassical description. In…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Sadzikowski , P. Wegrzyn

We consider two-dimensional QED with several fermion flavors on a finite spatial circle. A modified version of the model with {\em flavor-dependent} boundary conditions $\psi_p(L) = e^{2\pi ip/ N} \psi_p(0)$, $p = 1, \ldots , N$ is…

High Energy Physics - Theory · Physics 2009-09-25 M. Shifman , A. Smilga

I discuss the 2-flavor Schwinger model with $\theta=0$ and small equal and opposite fermion masses (or $\theta=\pi$ with equal masses). The massless model has an unparticle sector with unbroken conformal symmetry. I argue that this special…

High Energy Physics - Theory · Physics 2022-09-20 Howard Georgi

The vacuum energy density of the massive Schwinger model is shown to be not power expandable in the fermion mass.

High Energy Physics - Phenomenology · Physics 2007-05-23 Taekoon Lee

The massless vector Schwinger model with $N_f=1,2,3,4$ number of flavors is studied on the lattice using the overlap formalism. A full Monte Carlo simulation yields values for the bilinear fermion condensate that are in agreement with the…

High Energy Physics - Lattice · Physics 2009-10-28 R. Narayanan , H. Neuberger , P. Vranas

We investigate the 2-flavour Schwinger model in the canonical formulation with fixed fermion numbers. We use Wilson fermions and a formalism which describes the determinant of the Dirac operator in terms of dimensionally reduced canonical…

High Energy Physics - Lattice · Physics 2022-01-03 Patrick Bühlmann , Urs Wenger

We examine the phase structure of the two-flavor Schwinger model as a function of the $\theta$-angle and the two masses, $m_1$ and $m_2$. In particular, we find interesting effects at $\theta=\pi$: along the $SU(2)$-invariant line $m_1 =…

High Energy Physics - Theory · Physics 2024-03-22 Ross Dempsey , Igor R. Klebanov , Silviu S. Pufu , Benjamin T. Søgaard , Bernardo Zan

We present a numerical study of the massive two-flavor QED in two dimensions with the gauge action proposed by L\"uscher, which allows only ``admissible'' gauge fields. We find that the admissibility condition does not allow any topology…

High Energy Physics - Lattice · Physics 2009-11-10 Hidenori Fukaya , Tetsuya Onogi

A grand unified $SU(5)$ theory is constructed with a hierarchical breaking of a $U(2)$ flavor symmetry. The small parameters of the squark and slepton mass matrices, necessary to solve the supersymmetric flavor-changing problem, and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Riccardo Barbieri , Lawrence Hall

We study the phase structure of the massive one flavour lattice Schwinger model on the basis of the finite size scaling behaviour of the partition function zeroes. At $\beta = 0$ we observe and discuss a possible discrepancy with results…

High Energy Physics - Lattice · Physics 2009-10-22 H. Gausterer , C. B. Lang

Vacuum neutrino-oscillation probabilities from a simple three-flavor model with both mass-square differences and timelike Fermi-point splittings have been presented in a previous article [hep-ph/0504274]. Here, further results are given:…

High Energy Physics - Phenomenology · Physics 2013-05-29 Frans R. Klinkhamer

A flavor-dependent model (FDM) is proposed in this work. The model extends the Standard Model by an extra $U(1)_F$ local gauge group, two scalar doublets, one scalar singlet and two right-handed neutrinos, where the additional $U(1)_F$…

High Energy Physics - Phenomenology · Physics 2024-05-29 Jin-Lei Yang , Hai-Bin Zhang , Tai-Fu Feng
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