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Related papers: Many-flavor Schwinger model at finite chemical pot…

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We consider QED on a two-dimensional Euclidean torus with $f$ flavors of massless fermions and flavor-dependent chemical potentials. The dependence of the partition function on the chemical potentials is reduced to a $(2f-2)$-dimensional…

High Energy Physics - Theory · Physics 2013-12-04 Robert Lohmayer , Rajamani Narayanan

We study the thermodynamics of the two flavor massless Schwinger model on a torus at a finite chemical potential. We show that thermodynamic quantities only depend on the isospin chemical potential and there are marked deviations from a…

High Energy Physics - Theory · Physics 2013-05-30 R. Narayanan

We numerically study the zero temperature phase structure of the multiflavor Schwinger model at nonzero chemical potential. Using matrix product states, we reproduce analytical results for the phase structure for two flavors in the massless…

High Energy Physics - Lattice · Physics 2017-02-21 Mari Carmen Bañuls , Krzysztof Cichy , J. Ignacio Cirac , Karl Jansen , Stefan Kühn

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

We study the phase diagram of the Gross-Neveu model in d=2+1 space-time dimensions in the plane spanned by temperature and the number of massless fermion flavors. We use a functional renormalization group approach based on a nonperturbative…

High Energy Physics - Phenomenology · Physics 2014-09-09 Daniel D. Scherer , Jens Braun , Holger Gies

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 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

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 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

The massive multi-flavor Schwinger model on a circle is reduced to a finite dimensional quantum mechanics problem. The model sensitively depends on the parameter $mL|\cos\onehalf\theta|$ where $m$, $L$, and $\theta$ are a typical fermion…

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

A summary is given of a quantization of the multiflavour Schwinger model on a finite-temperature cylinder with chirality-breaking boundary conditions at its spatial ends, and it is shown that the analytic expression for the chiral…

High Energy Physics - Theory · Physics 2007-05-23 Stephan Dürr

Partition functions of two different matrix models for QCD with chemical potential are computed for an arbitrary number of quark and complex conjugate anti-quark flavors. In the large-N limit of weak nonhermiticity complete agreement is…

High Energy Physics - Theory · Physics 2010-04-05 G. Akemann , Y. V. Fyodorov , G. Vernizzi

To study continuum limit of lattice QCD with many light quark flavors, we investigate the zero temperature phase structures of multi-flavor QCD. Currently a series of exploratory simulations are being performed with the number of quark…

High Energy Physics - Lattice · Physics 2007-05-23 Seyong Kim , Shigemi Ohta

Two-dimensional QED with $N$ flavor fermions is solved at zero and finite temperature with arbitrary fermion masses to explore QCD physics such as chiral condensate and string tension. The problem is reduced to solving a Schr\"odinger…

High Energy Physics - Theory · Physics 2007-05-23 Y. Hosotani , R. Rodriguez , J. E. Hetrick , S. Iso

We investigate the phase structure of SU(4) gauge theory with the gauge field simultaneously coupled to two flavors of fermion in the fundamental representation and two flavors of fermion in the two-index antisymmetric representation. We…

High Energy Physics - Lattice · Physics 2018-06-13 Venkitesh Ayyar , Thomas DeGrand , Daniel C. Hackett , William I. Jay , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

We present results for phase structure of lattice QCD with two degenerate flavors ($N_f=2$) of Wilson quarks at finite temperature $T$ and small baryon chemical potential $\mu_B$. Using the imaginary chemical potential for which the fermion…

High Energy Physics - Lattice · Physics 2008-11-26 Liang-Kai Wu , Xiang-Qian Luo , He-Sheng Chen

We investigate the finite-temperature and -density chiral Gross-Neveu model with an axial U$_A$(1) symmetry in $1+1$ dimensions on the lattice. In the limit where the number of flavors $N_\mathrm{f}$ tends to infinity the continuum model…

High Energy Physics - Lattice · Physics 2022-03-03 Julian J. Lenz , Michael Mandl , Andreas Wipf

We present results of a simulation of 2-flavor QCD on a 4x16^3 lattice using p4-improved staggered fermions with bare quark mass m/T=0.4. Derivatives of the thermodynamic grand canonical partition function Z(V,T,mu_u,mu_d) with respect to…

High Energy Physics - Lattice · Physics 2008-11-26 C. R. Allton , M. Doering , S. Ejiri , S. J. Hands , O. Kaczmarek , F. Karsch , E. Laermann , K. Redlich

We study the generating functional for the massless Schwinger model in the torus, at nonzero chemical potential and temperature. The lack of hermiticity of the Dirac operator yields a non-trivial phase in the effective action, which is a…

High Energy Physics - Theory · Physics 2009-10-30 Ramon F. Alvarez-Estrada , Angel Gomez Nicola

In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_\mathrm{f} = 2, 8, 16$, finite temperature and finite chemical potential using lattice field theory.…

High Energy Physics - Lattice · Physics 2020-12-04 Julian J. Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf
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