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This paper is dedicated to formulate the interaction picture dynamics of the self-dual field minimally coupled to fermions. To make this possible, we start by quantizing the free self-dual model by means of the Dirac bracket quantization…

High Energy Physics - Theory · Physics 2014-11-18 H. O. Girotti

In terms of the relational approach to space-time geometry and physical interactions, we show that the Dirac equation for a free fermion in the momentum representation can be obtained starting from a binary system of complex relations…

Mathematical Physics · Physics 2022-12-06 Anton V. Solov'yov

When Morris and Thorne first proposed the possible existence of traversable wormholes, they adopted the following strategy: maintain complete control over the geometry, thereby leaving open the determination of the stress-energy tensor. In…

General Relativity and Quantum Cosmology · Physics 2016-05-24 Peter K. F. Kuhfittig

We study the localization of fermions on a brane embedded in a space-time with $AdS_n \times M^k$ geometry. Quantum numbers of localized fermions are associated with their rotation momenta around the brane. Fermions with different quantum…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Andrey Neronov

We present a strategy for mapping the dynamics of a fermionic quantum system to a set of classical dynamical variables. The approach is based on imposing the correspondence relation between the commutator and the Poisson bracket, preserving…

Quantum Physics · Physics 2020-09-29 Amikam Levy , Wenjie Dou , Eran Rabani , David T. Limmer

A key problem in the field of quantum criticality is to understand the nature of quantum phase transitions in systems of interacting itinerant fermions, motivated by experiments on a variety of strongly correlated materials. Much attention…

Strongly Correlated Electrons · Physics 2021-06-30 Rufus Boyack , Hennadii Yerzhakov , Joseph Maciejko

We investigate some properties of a system of Dirac fermions in 2+1 dimensions, with a space dependent mass having domain wall like defects.These defects are defined by the loci of the points where the mass changes sign. In general, they…

High Energy Physics - Theory · Physics 2009-10-31 C. D. Fosco , A. Lopez

One dimensional system of Dirac fermions with a random-varying mass is studied by the transfer-matrix methods which we developed recently. We investigate the effects of nonlocal correlation of the spatial-varying Dirac mass on the…

Condensed Matter · Physics 2009-10-31 Koujin Takeda , Ikuo Ichinose

The solutions of traversable wormholes and their geometries are investigated in higher-curvature gravity with boundary terms for each case under the presence of anisotropic, isotropic and barotropic fluids in detail. For each case, the…

General Relativity and Quantum Cosmology · Physics 2023-10-03 M. Ilyas , Kazuharu Bamba

We investigate the motion of fermions in the presence of an electro\-weak phase transition bubble wall. We derive and solve the Dirac equation for such fer\-mions, and compute the transmission and reflection coefficients for fermions…

High Energy Physics - Phenomenology · Physics 2009-10-22 Alejandro Ayala , Jamal Jalilian--Marian , Larry McLerran , Axel P. Vischer

The problem of confinement of fermions in 1+1 dimensions is approached with a linear potential in the Dirac equation by considering a mixing of Lorentz vector and scalar couplings. Analytical bound-states solutions are obtained when the…

High Energy Physics - Theory · Physics 2009-11-07 Antonio S. de Castro

We investigate the interaction of fermions having both Dirac and left-handed and right-handed Majorana mass terms with vacuum domain walls. By solving the equations of motion in thin-wall approximation, we calculate the reflection and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Leonardo Campanelli

The possibilities of pairing in two-dimensional boson-fermion mixtures are carefully analyzed. It is shown that the boson-induced attraction between two identical fermions dominates the p-wave pairing at low density. For a given fermion…

Superconductivity · Physics 2009-11-10 J. Mur-Petit , A. Polls , M. Baldo , H. -J. Schulze

It is shown that among the different classes of claimed static wormhole solutions of the vacuum Brans-Dicke theory only Brans Class I solution with coupling constant $\omega$ less than -1.5 (excluding the point $\omega =2$) gives rise to…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Arunava Bhadra , Kabita Sarkar

Quantum electrodynamics in three spacetime dimensions, with one massless fermion species, is studied using a non-perturbative variational approach. Quantization of the theory follows Dirac's Hamiltonian procedure, with a gauge invariant…

High Energy Physics - Theory · Physics 2017-02-10 Michaël Fanuel , Jan Govaerts

In this work, we have obtained the solutions of a massless fermion which is under the external magnetic field around a cosmic string for specific three potential models using supersymmetric quantum mechanics. The constant magnetic field,…

High Energy Physics - Theory · Physics 2020-05-04 B. Cagatay , O. Yesiltas , A. L. Aygun

We study chiral symmetry breaking in $\rm QED_3$ with $N_f$ flavors of four-component fermions. A closed system of Schwinger-Dyson equations for fermion and photon propagators and the full fermion-photon vertex is proposed, which is…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. P. Gusynin , A. H. Hams , M. Reenders

The paper deals with static traversable wormhole having shape function a polynomial of the radial coordinate of degree 2. Embedding of the wormholes in space-time is examined both analytically and graphically. Also both timelike and null…

General Relativity and Quantum Cosmology · Physics 2021-12-03 Bikram Ghosh , Sourav Dutta , Sudeshna Mukerji , Subenoy Chakraborty

Exact solutions of traversable wormholes are found under the assumption of spherical symmetry and the existence of a {\it non-static} conformal symmetry, which presents a more systematic approach in searching for exact wormhole solutions.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

In this article, we calculate the friction between two counter-flowing bosonic and fermionic super-fluids. In the limit where the boson-boson and boson-fermion interactions can be treated within the mean-field approximation, we show that…

Quantum Gases · Physics 2015-05-21 F. Chevy
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