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This is a review paper outlining recent progress in the spectral analysis of first order systems. We work on a closed manifold and study an elliptic self-adjoint first order system of linear partial differential equations. The aim is to…

Spectral Theory · Mathematics 2016-12-13 Zhirayr Avetisyan , Yan-Long Fang , Dmitri Vassiliev

In this paper we investigate the vacuum polarization effects associated with quantum fermionic charged fields in a generalized $(d+1)-$dimensional cosmic string space-times considering the presence of a magnetic flux along the string. In…

High Energy Physics - Theory · Physics 2009-11-19 J. Spinelly , E. R. Bezerra de Mello

The dynamics of fermionic unparticles is developed from first principles. It is shown that any unparticle, whether fermionic or bosonic, can be recast in terms of a canonically quantized field, but with non-local interaction terms. We…

High Energy Physics - Phenomenology · Physics 2009-07-22 Rahul Basu , Debajyoti Choudhury , H. S. Mani

We construct supersymmetric quantum mechanics in terms of two real supercharges on noncommutative space in arbitrary dimensions. We obtain the exact eigenspectra of the two and three dimensional noncommutative superoscillators. We further…

High Energy Physics - Theory · Physics 2009-01-07 Pijush K. Ghosh

We present the first calculation of fermion spectral function at finite temperature in quark-meson model in the framework of the functional renormalization group (FRG). We compare the results in two truncations, after first evolving flow…

High Energy Physics - Phenomenology · Physics 2018-12-05 Ziyue Wang , Lianyi He

To clarify some issues raised by D'Eath's recent proposal for the physical states of $N=1$ supergravity in four dimensions, we study pure (topological) $N=2$ supergravity in three dimensions, which is formally very similar, but much easier…

General Relativity and Quantum Cosmology · Physics 2009-10-22 B. de Wit , H. J. Matschull , H. Nicolai

We introduce a density functional formalism to study the ground-state properties of strongly-correlated dipolar and ionic ultracold bosonic and fermionic gases, based on the self-consistent combination of the weak and the strong coupling…

We investigate spectral properties of a fermion coupled with a massive gauge boson with a mass m at finite temperature (T) in the perturbation theory. The massive gauge boson is introduced as a U(1) gauge boson in the Stueckelberg formalism…

High Energy Physics - Phenomenology · Physics 2011-02-23 Daisuke Satow , Yoshimasa Hidaka , Teiji Kunihiro

In this paper we study a hierarchical supersymmetric model for a class of gapless, three-dimensional, weakly disordered quantum systems, displaying pointlike Fermi surface and conical intersections of the energy bands in the absence of…

Mathematical Physics · Physics 2020-12-02 Giovanni Antinucci , Luca Fresta , Marcello Porta

We consider three-point correlation functions for superstrings propagating in AdS$_3\times S^3 \times T^4$. In the RNS formalism, these generically involve correlators with current insertions. When vertex operators with non-trivial spectral…

High Energy Physics - Theory · Physics 2023-02-23 Sergio Iguri , Nicolas Kovensky , Julian H. Toro

A central problem in quantum condensed matter physics is the critical theory governing the zero temperature quantum phase transition between strongly renormalized Fermi-liquids as found in heavy fermion intermetallics and possibly high Tc…

High Energy Physics - Theory · Physics 2010-04-23 Mihailo Cubrovic , Jan Zaanen , Koenraad Schalm

We show that each unitary representation of the N=2 superVirasoro algebra can be realized in terms of ``collective excitations'' over a filled Dirac sea of fermionic operators satisfying a generalized exclusion principle. These are…

High Energy Physics - Theory · Physics 2007-05-23 BL Feigin , AM Semikhatov , IYu Tipunin

We consider a mathematical model of the Fermi theory of weak interactions as patterned according to the well-known current-current coupling of quantum electrodynamics. We focuss on the example of the decay of the muons into electrons,…

Mathematical Physics · Physics 2007-05-23 Laurent Amour , Benoit Grebert , Jean-Claude Guillot

Analyzing general structure of the Green function of a strongly correlated electron system we have shown that for the regime of strong correlations Luttinger's theorem should be generalized in the following way: the volume of the Fermi…

Strongly Correlated Electrons · Physics 2007-05-23 M. M. Korshunov , S. G. Ovchinnikov

At strong on-site repulsion $ U $, the fermionic Hubbard model realizes an extremely correlated electron system. In this regime, it is natural to derive the low-energy physics with the help of non-canonical operators acting on a projected…

Strongly Correlated Electrons · Physics 2026-04-27 Jonas Arnold , Peter Kopietz , Andreas Rückriegel

We examine a one-dimensional two-component fermionic system in a trap, assuming that all particles have the same mass and interact through a strong repulsive zero-range force. First we show how a simple system of three strongly interacting…

Quantum Gases · Physics 2015-04-23 A. G. Volosniev , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We treat the trapped two-component Fermi system, in which unlike fermions interact through a two-body short-range potential having no bound state but an infinite scattering length. By accurately solving the Schroedinger equation for up to…

Other Condensed Matter · Physics 2009-11-13 D. Blume , J. von Stecher , Chris H. Greene

We investigate massless n-point one-loop amplitudes of the open RNS superstring with two external fermions and determine their worldsheet integrands. The contributing correlation functions involving spin-1/2 and spin-3/2 operators from the…

High Energy Physics - Theory · Physics 2018-06-21 Seungjin Lee , Oliver Schlotterer

We develop an efficient method to calculate the third-order corrections to the self-energy of the hole-doped two-dimensional Hubbard model in space-time representation. Using the Dyson equation we evaluate the renormalized spectral function…

Strongly Correlated Electrons · Physics 2009-10-31 V. Zlatic , B. Horvatic , B. Dolicki , S. Grabowski , P. Entel , K. -D. Schotte

We discuss various superfluid properties of a two-component Fermi system in the presence of a tight one-dimensional periodic potential in a three-dimensional system. We use a zero temperature mean field theory and derive analytical…

Other Condensed Matter · Physics 2009-01-16 Theja N. De Silva