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We reconsider the Gram-Hadamard bound as it is used in constructive quantum field theory and many body physics to prove convergence of Fermionic perturbative expansions. Our approach uses a recursion for the amplitudes of the expansion,…

Mathematical Physics · Physics 2016-05-25 Martin Lohmann

We combine and extend the analyses of effective scalar, vector, Majorana and Dirac fermion Higgs portal models of dark matter (DM), in which DM couples to the Standard Model (SM) Higgs boson via an operator of the form…

High Energy Physics - Phenomenology · Physics 2016-06-15 Ankit Beniwal , Filip Rajec , Christopher Savage , Pat Scott , Christoph Weniger , Martin White , Anthony G. Williams

The theory of a massless two-dimensional scalar field with a periodic boundary interaction is considered. At a critical value of the period this system defines a conformal field theory and can be re-expressed in terms of free fermions,…

High Energy Physics - Theory · Physics 2009-10-09 J. Polchinski , L. Thorlacius

We demonstrate that the skeleton of the Fermi surface S_{F;s} pertaining to a uniform metallic ground state (corresponding to fermions with spin index s) is determined by the Hartree-Fock contribution to the dynamic self-energy. The Fermi…

Strongly Correlated Electrons · Physics 2015-06-24 Behnam Farid

Semi-Dirac fermions are massless in one direction and massive in the perpendicular directions. Such quasiparticles have been proposed in various contexts in condensed matter. Using first principles calculations, we identify a pair of…

Materials Science · Physics 2025-11-13 Alaska Subedi , Kamran Behnia

In Schwarzschild's acoustic black hole (SABH) spacetime, we investigate the wave dynamics for the fermions. To this end, we first take into account the Dirac equation in the SABH by employing a null tetrad in the Newman-Penrose (NP)…

High Energy Physics - Theory · Physics 2023-02-21 Sara Kanzi , İzzet Sakallı

We review recent results concerning the evolution of fermionic systems. We are interested in the mean field regime, where particles experience many weak collisions. For fermions, the mean field regime is naturally linked with a…

Mathematical Physics · Physics 2014-05-01 Niels Benedikter , Marcello Porta , Benjamin Schlein

Currently, there is much interest in discovering analytically tractable (3+1)-dimensional models that describe interacting fermions with emerging topological properties. Towards that end we present a three-dimensional tight-binding model of…

Strongly Correlated Electrons · Physics 2014-08-20 Mauro Cirio , Giandomenico Palumbo , Jiannis K. Pachos

The behaviour of massive fermions is analyzed with scalar and vector potentials. A continuous chiral-conjugation transformation decouples the equation for the upper component of the Dirac spinor provided the vector coupling does not exceed…

High Energy Physics - Theory · Physics 2015-11-18 W M Castilho , A S de Castro

The asymptotic form of Dirac spinors in the field of a Schwarzschild black hole is used for deriving analytically for the first time the phase shifts of the partial wave analysis of Dirac fermions scattered from massive spherical bodies,…

General Relativity and Quantum Cosmology · Physics 2019-01-15 Ion I. Cotaescu , Ciprian A. Sporea

We study the relations between massless Dirac fermions in an electromagnetic field and atoms in quantum optics. After getting the solutions of the energy spectrum, we show that it is possible to reproduce the 2D Dirac Hamiltonian, with all…

High Energy Physics - Theory · Physics 2015-05-27 Ahmed Jellal , Abderrahim El Mouhafid , Mohammed Daoud

The topological properties of fermions arise from their low-energy Dirac-like band dispersion and associated chiralities. Initially confined to points, extensions of the Dirac dispersion to lines and even loops have now been uncovered and…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 S. Pezzini , M. R. van Delft , L. Schoop , B. Lotsch , A. Carrington , M. I. Katsnelson , N. E. Hussey , S. Wiedmann

We present a simple derivation of the 'Dirac' equation for the supermembrane fermionic field in a D=11 supergravity background with fluxes by using a complete but gauge-fixed description of the supergravity-supermembrane interacting system…

High Energy Physics - Theory · Physics 2009-11-11 Igor Bandos , Jose A. de Azcarraga

We study a Su-Schrieffer-Heeger chain coupled to a single mode photonic cavity. Considering an off-resonant regime we use the high-frequency expansion in order to obtain an effective fermionic Hamiltonian with cavity-mediated interactions.…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Anna Ritz-Zwilling , Olesia Dmytruk

Kondo insulators are primary candidates in the search for strongly correlated topological quantum phases, which may host topological order, fractionalization, and non-Abelian statistics. Within some Kondo insulators, the hybridization gap…

We investigate QCD with adjoint Dirac fermions on $\mathbb{R}^3\times S^1$ with generic boundary conditions for fermions along $S^1$. By means of perturbation theory, semiclassical methods and a chiral effective model, we elucidate a rich…

High Energy Physics - Phenomenology · Physics 2015-02-19 Tatsuhiro Misumi , Takuya Kanazawa

Exotic massless fermionic excitations with non-zero Berry flux, other than Dirac and Weyl fermions, could exist in condensed matter systems under the protection of crystalline symmetries, such as spin-1 excitations with 3-fold degeneracy…

Materials Science · Physics 2017-11-20 Peizhe Tang , Quan Zhou , Shou-Cheng Zhang

The interaction of a quantum field with a background containing a Dirac delta function with support on a surface of codimension 1 represents a particular kind of matching conditions on that surface for the field. In this article we show…

High Energy Physics - Theory · Physics 2011-06-21 S. A. Franchino Viñas , P. A. G. Pisani

The complete nonperturbative expressions for the high-temperature expansion of the one-loop effective action induced by the charged scalar and the charged Dirac particles both at zero and finite temperatures are derived with account for…

High Energy Physics - Theory · Physics 2017-12-25 I. S. Kalinichenko , P. O. Kazinski

It is known that in some higher-order topological insulators (HOTIs), topological phases are distinguished not by gap closings of bulk states but by those of edge states, which are called boundary-obstructed topological phases (BOTPs). In…

Mesoscale and Nanoscale Physics · Physics 2020-10-12 K. Asaga , T. Fukui