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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…

High Energy Physics - Theory · Physics 2009-10-22 E. C. Marino

We propose to form a two-component effective field theory from L = (L_ce + L_ch)/2, where L_ce is the Lagrangian of composite electrons with a Chern-Simons term, and L_ch is the particle-hole conjugate of L_ce - the Lagrangian of composite…

Strongly Correlated Electrons · Physics 2018-02-01 Jian Yang

We investigate a relativistic quantum field theory in the particle representation using a non-perturbative variational technique. The theory is that of two massive scalar particles, `nucleons' and `mesons', interacting via a Yukawa…

Nuclear Theory · Physics 2009-10-28 A. W. Schreiber , R. Rosenfelder

We provide details of a shorter letter and cond-mat/9702098 and some new results. We describe a Chern-Simons theory for the fractional quantum Hall states in which magnetoplasmon degrees of freedom enter. We derive correlated wavefunctions,…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 Ganpathy Murthy , R. Shankar

The electron Green's functions $G({\bf k},\omega)$ within the t-J model and in the regime of intermediate doping is studied analytically using equations of motion for projected fermionic operators and the decoupling of the self energy into…

Strongly Correlated Electrons · Physics 2009-10-28 Peter Prelovsek

The momentum bands, energy dispersions, and velocities of the charge $c$ fermions and spin-neutral two-spinon $s1$ fermions of a square-lattice quantum liquid referring to the Hubbard model on such a lattice of edge length $L$ in the one-…

Strongly Correlated Electrons · Physics 2015-05-13 J. M. P. Carmelo

We develop a Green's function method to evaluate the exact equilibrium particle-density profiles of noninteracting Fermi gases in external harmonic confinement in any spatial dimension and for arbitrary trap anisotropy. While in a…

Statistical Mechanics · Physics 2009-11-07 Patrizia Vignolo , Anna Minguzzi

We study a system of fermions interacting with a gauge field which can be used to describe either spin liquid or $\nu=1/2$ Quantum Hall state. We propose a generalized model with a dimensionless parameter $N$. We evaluate the properties of…

Condensed Matter · Physics 2007-05-23 L. B. Ioffe , D. Lidsky , B. L. Altshuler

The QED four-photon amplitude has been well-studied by many authors, and on-shell is treated in many textbooks. However, a calculation with all four photons off-shell is presently still lacking, despite of the fact that this amplitude…

High Energy Physics - Theory · Physics 2023-05-24 Naser Ahmadiniaz , Cristhiam Lopez-Arcos , Misha A. Lopez-Lopez , Christian Schubert

Motivated by cold-atom experiments and a desire to understand far-from-equilibrium quantum transport, we analytically study the dynamics of spin helices in the one-dimensional $XX$ model. We use a Jordan-Wigner transformation to map the…

Strongly Correlated Electrons · Physics 2022-10-21 Darren Pereira , Erich J. Mueller

Fundamental differences between fermions and bosons are revealed in their spin and distribution statistics as well as the discrete symmetries they obey (charge, parity and time). While significant progress has been made on fermionic…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Todd Van Mechelen , Zubin Jacob

A conformal invariant QED-inspired model is solved for a general covariant linear gauge using the Dyson-Schwinger equations for the propagators assuming a pure vector like interaction. The leading corrections to the asymptotic solutions and…

High Energy Physics - Theory · Physics 2024-08-27 O Oliveira , T Frederico , W de Paula

We consider a (2+1)-dimensional modified electrodynamics endowed with terms that are either Lorentz-invariant or Lorentz-violating and involve an ever increasing number of derivatives. Our construction relies on U(1) gauge invariance and…

High Energy Physics - Theory · Physics 2023-10-02 Letícia Lisboa-Santos , João A. A. S. Reis , Marco Schreck , Manoel M. Ferreira

We calculate on-shell scattering amplitudes involving fermions at the tree level in open superstring field theory. We confirm that four-point and five-point amplitudes in the world-sheet path integral with the standard prescription using…

High Energy Physics - Theory · Physics 2016-12-05 Hiroshi Kunitomo , Yuji Okawa , Hiroki Sukeno , Tomoyuki Takezaki

We study the non-perturbative phenomena of Dynamical Mass Generation and Confinement by truncating at the non-perturbative level the Schwinger-Dyson equations in Maxwell-Chern-Simons planar quantum electrodynamics. We obtain numerical…

High Energy Physics - Phenomenology · Physics 2015-03-19 Saúl Sánchez Madrigal , Christoph P. Hofmann , Alfredo Raya

We present a quantum optics theory, numerical calculations, and experiments on coupled quantumdots in semiconductor nanowire waveguides. We first present an analytical Green function theory tocompute the emitted spectra of two coupled…

We apply the recently proposed amplitude reduction at the integrand level method, to the computation of the scattering process 2 photons -> 4 photons, including the case of a massive fermion loop. We also present several improvements of the…

High Energy Physics - Phenomenology · Physics 2009-04-21 Giovanni Ossola , Costas G. Papadopoulos , Roberto Pittau

We consider the off-shell momentum space Green's functions in closed superstring field theory. Recently in arXiv:1810.07197, the off-shell Green's functions -- after explicitly removing contributions of massless states -- have been shown to…

High Energy Physics - Theory · Physics 2021-02-03 Ritabrata Bhattacharya , Ratul Mahanta

We demonstrate the emission of indistinguishable photons along a semiconductor chip originating from carrier recombination in an InAs quantum dot. The emitter is integrated in the waveguiding region of a photonic crystal structure, allowing…

We study the XX model for quantum spins on the star graph with three legs (i.e., on a Y-junction). By performing a Jordan-Wigner transformation supplemented by the introduction of an auxiliary space we find a Kondo Hamiltonian of fermions,…

Mathematical Physics · Physics 2013-03-26 Nicolas Crampe , Andrea Trombettoni