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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…

量子物理 · 物理学 2020-06-11 Chinmay Mishra , Shane Thompson , Raphael Pooser , George Siopsis

We consider Quantum Electrodynamics in $2{+}1$ dimensions with $N_f$ fermionic or bosonic flavors, allowing for interactions that respect the global symmetry $U(N_f/2)^2$. There are four bosonic and four fermionic fixed points, which we…

高能物理 - 理论 · 物理学 2019-06-26 Sergio Benvenuti , Hrachya Khachatryan

A few years ago some attention has been given to a fermionic action on the lattice, with a Wilson-like term which is chirally invariant but breaks the hypercubic space-time lattice symmetry. This action describes two Dirac fields in the…

高能物理 - 格点 · 物理学 2009-10-22 Mario Pernici

We point out that there is a difference between the behavior of fermionic systems (and their holographic analogs) in a background axial vector field, on the one hand, and at finite chiral chemical potential, on the other. In the former…

高能物理 - 唯象学 · 物理学 2010-05-12 V. A. Rubakov

A Lorentz violating modification of massless QED is proposed, with higher order space derivatives for the photon field. The fermion dynamical mass generation is studied with the Schwinger-Dyson approach. Perturbative properties of the model…

高能物理 - 理论 · 物理学 2013-03-11 Jean Alexandre , Ariadni Vergou

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…

高能物理 - 理论 · 物理学 2016-09-06 J. E. Hetrick , Y. Hosotani , S. Iso

We discuss the low-energy dynamics of massless Dirac fermions interacting with a propagating, relativistic photon in 2+1 spacetime dimensions, when we turn on a uniform magnetic field. This problem can be solved when the magnetic field is…

高能物理 - 理论 · 物理学 2025-08-06 Thomas T. Dumitrescu , Juan Maldacena

We study the vacuum stability of a model of massless scalar and fermionic fields minimally coupled to a Chern-Simons field. The classical Lagrangian only involves dimensionless parameters, and the model can be thought as a (2+1) dimensional…

高能物理 - 理论 · 物理学 2009-11-10 Alex G. Dias , M. Gomes , A. J. da Silva

The critical quark mass, at which the renormalised mass vanishes, is computed in the Schrodinger functional scheme with a non vanishing background field at one-loop order of perturbation theory. Further one-loop calculations are done for…

高能物理 - 格点 · 物理学 2007-05-23 Stefan Kurth

We investigate the out of equilibrium dynamics of global chiral supersymmetry at finite energy density. We concentrate on two specific models. The first is the massive Wess-Zumino model which we study in a selfconsistent one-loop…

高能物理 - 唯象学 · 物理学 2009-11-07 J. Baacke , D. Cormier , H. J. de Vega , K. Heitmann

Euclidean dense matter generically suffers from the fermion sign problem. However, we argue that the sign problem is absent if one considers only low-energy degrees of freedom. Specifically, the low energy effective theory of dense QCD has…

高能物理 - 格点 · 物理学 2007-05-23 Deog Ki Hong , Stephen D. H. Hsu

There exist local infinitesimal redefinitions of the fermionic fields, which may be used to modify the strength of the coupling for the interaction term in massless QED3. Under those (formally unitary) transformations, the functional…

高能物理 - 理论 · 物理学 2007-05-23 C. D. Fosco

We present a construction of an effective Yang-Mills action for QCD, from the expansion of the fermionic determinant in terms of powers of the chemical potential at high temperature, for the case of massless quarks. We analyze this…

高能物理 - 唯象学 · 物理学 2008-11-26 C. Villavicencio , E. S. Fraga

The Casimir effect is a quantum phenomenon rooted in the fact that vacuum fluctuations of quantum fields are affected by the presence of physical objects and boundaries. Since the energy spectrum of the vacuum fluctuations depends on…

高能物理 - 理论 · 物理学 2023-02-08 M. N. Chernodub , V. A. Goy , A. V. Molochkov

One considers the quantum dynamics of a charged spin-1/2 particle in an extended external eletromagnetic field that arises from the reduction of a 5-dimensional Abelian gauge theory. The non-relativistic regime of the reduced 4D-dynamics is…

高能物理 - 理论 · 物理学 2007-05-23 G. S. Dias , J. A. Helayel-Neto

We study the electrodynamics of generic charged particles (bosons, fermions, relativistic or not) constrained to move on an infinite plane. An effective gauge theory in 2+1 dimensional spacetime which describes the real electromagnetic…

高能物理 - 理论 · 物理学 2009-10-22 E. C. Marino

Variables parametrized by closed and open curves are defined to reformulate compact U(1) Quantum Electrodynamics in the circle with a massless fermion field. It is found that the gauge invariant nature of these variables accommodates into a…

高能物理 - 理论 · 物理学 2009-10-30 R. Gambini , H. A. Morales-Tecotl , L. F. Urrutia , J. D. Vergara

We show that in the microscopic domain of QCD (also known as the $\epsilon$-domain) at nonzero chemical potential the average phase factor of the fermion determinant is nonzero for $\mu < m_\pi/2$ and is exponentially suppressed for larger…

高能物理 - 格点 · 物理学 2008-11-26 K. Splittorff , J. J. M. Verbaarschot

We analyze the creation of fermions and bosons from the vacuum by the exponentially decreasing in time electric field in detail. In our calculations we use QED and follow in main the consideration of particle creation effect in a…

高能物理 - 理论 · 物理学 2015-06-11 T. C. Adorno , S. P. Gavrilov , D. M. Gitman

The electromagnetic form factors provide important hints for the internal structure of the nucleon and continue to be of major interest for experimentalists. For an intermediate range of momentum transfers the form factors can be calculated…