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In this work, we readdress the Dirac equation in the position-dependent mass (PDM) scenario. Here, one investigates the quantum dynamics of non-Hermitian fermionic particles with effective mass assuming a $(1+1)$-dimension flat spacetime.…

Quantum Physics · Physics 2023-03-22 F. C. E. Lima , L. N. Monteiro , C. A. S. Almeida

Dynamical dark energy (DE) phenomenon emerges as a geometrical effect accompanying the cosmological expansion of nonrelativistic fermionic matter. This occurs without the need for any fluid, like e.g. dynamical scalar field (quintessence,…

General Relativity and Quantum Cosmology · Physics 2013-03-14 E. I. Guendelman , A. B. Kaganovich

We study the phase diagram of the two-dimensional N=1 Wess-Zumino model using Wilson fermions and the fermion loop formulation. We give a complete non-perturbative determination of the ground state structure in the continuum and infinite…

High Energy Physics - Lattice · Physics 2013-11-21 David Baumgartner , Kyle Steinhauer , Urs Wenger

The composite operator effective potential is compared with the conventional Dyson-Schwinger method as a calculational tool for (2+1)-dimensional quantum electrodynamics. It is found that when the fermion propagator ansatz is put directly…

High Energy Physics - Theory · Physics 2014-11-18 A. Campbell-Smith

We study the quantum theory of an O(N) scalar field on de Sitter geometry at leading order in a nonperturbative 1/N-expansion. This resums the infinite series of so-called superdaisy loop diagrams. We obtain the de Sitter symmetric…

High Energy Physics - Theory · Physics 2015-05-28 Julien Serreau

This work sets out to compute and discuss effects of spin, velocity and dimensionality on inter-particle potentials systematically derived from gauge field-theoretic models. We investigate the interaction of fermionic particles by the…

General Physics · Physics 2018-03-28 L. P. R. Ospedal , J. A. Helayël-Neto

We show that a dynamical supersymmetry can appear in a purely fermionic system. This ``supersymmetry without bosons" is constructed by application of a recently introduced boson-fermion Dyson mapping from a fermion space to a space…

Nuclear Theory · Physics 2009-10-30 P Navratil , H B Geyer , J Dobaczewski

In this work we discuss the phase structure of a deformed supersymmetric nonlinear sigma model in a three-dimensional space-time. The deformation is introduced by a term that breaks supersymmetry explicitly, through imposing a slightly…

High Energy Physics - Theory · Physics 2013-10-24 A. C. Lehum , A. J. da Silva

We study the possibility that the Dilaton is stabilized by the contribution of fermion masses to its effective potential. We consider the Dilaton gravity action in four dimensions to which we add a mass term for a Dirac fermion. Such an…

High Energy Physics - Theory · Physics 2009-02-16 Alejandro Cabo , Robert Brandenberger

We analyze $(2+1)$-dimensional vector-vector type four-Fermi interaction (Thirring) model in the framework of the $1/N$ expansion. By solving the Dyson-Schwinger equation in the large-$N$ limit, we show that in the two-component formalism…

High Energy Physics - Theory · Physics 2009-10-22 D. K. Hong , S. H. Park

We have proven the general relations between the gap equations obeyed by dynamical fermion mass and corresponding effective potentials at finite temperature and chemical potential in D dimensional four-fermion interaction models. This gives…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zhou Bang-Rong

The dynamical symmetry breaking in a quasi-(1+1)-dimensional relativistic model is investigated. The motions of particles in intrachain are described as a relativistic electron-hole gas, while the interchain hopping term is introduced as a…

Superconductivity · Physics 2016-09-08 Tadafumi Ohsaku

We examine geometry and dynamics of classical spacetime derived from entanglement spectrum. The spacetime is a kind of canonical parameter space defined by the Fisher information metric. As a concrete example, we focus on the spectrum for…

High Energy Physics - Theory · Physics 2015-08-04 Hiroaki Matsueda

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2011-04-15 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We study the phase diagram of the two-dimensional N=1 Wess-Zumino model on the lattice using Wilson fermions and the fermion loop formulation. We give a complete nonperturbative determination of the ground state structure in the continuum…

High Energy Physics - Lattice · Physics 2015-06-23 Kyle Steinhauer , Urs Wenger

In the SM gauge symmetries and fermion content of neutrinos, charged leptons and quarks, we study the effective four-fermion operators of Einstein-Cartan type and their contributions to the Schwinger-Dyson equations of fermion self-energy…

High Energy Physics - Phenomenology · Physics 2016-11-18 She-Sheng Xue

We consider the four-fermion Lifshitz model, introduce in this model an auxiliary vector field, and generate an effective dynamics for this field. We explicitly demonstrate that within this dynamics, the effective bumblebee potential for…

High Energy Physics - Theory · Physics 2019-08-19 T. Mariz , R. Moreira , A. Yu. Petrov

While the composite fermion picture is so effective as to describe the excitation spectra including the spin wave for Laughlin's quantum liquid, ``how heavy and how strongly-interacting" remains a formidable question for the composite…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Hideo Aoki

A strict positivity of the ground-state energy is a necessary and sufficient condition for spontaneous supersymmetry breaking. This ground-state energy may be directly determined from the expectation value of the Hamiltonian in the…

High Energy Physics - Lattice · Physics 2008-11-26 Issaku Kanamori , Fumihiko Sugino , Hiroshi Suzuki

We perform a global renormalization group study of O(N) symmetric Wess-Zumino theories and their phases in three euclidean dimensions. At infinite N the theory is solved exactly. The phases and phase transitions are worked out for finite…

High Energy Physics - Theory · Physics 2013-05-30 Marianne Heilmann , Daniel F. Litim , Franziska Synatschke-Czerwonka , Andreas Wipf
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