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We derive the relativistic transformation laws for the annihilation operators of the scalar field, the massive spin-1 vector field, the electromagnetic field and the spinor field. The technique developed here involves straightforward…

量子物理 · 物理学 2007-05-23 Pieter Kok , Samuel L. Braunstein

Jacobi operators appear as kinetic operators of several classes of noncommutative field theories (NCFT) considered recently. This paper deals with the case of bounded Jacobi operators. A set of tools mainly issued from operator and spectral…

数学物理 · 物理学 2015-08-07 Antoine Géré , Jean-Christophe Wallet

In this paper, we study the itinerant ferromagnetic phase in multi-component fermionic systems with symplectic (Sp(4), or isomorphically SO(5)) symmetry. Two different microscopic models have been considered and an effective field theory…

量子气体 · 物理学 2020-03-20 Zi Cai , Congjun Wu

We study a noncommutative nonrelativistic fermionic field theory in 2+1 dimensions coupled to the Chern-Simons field. We perform a perturbative analysis of model and show that up to one loop the ultraviolet divergences are canceled and the…

高能物理 - 理论 · 物理学 2009-11-10 M. A. Anacleto , M. Gomes , A. J. da Silva , D. Spehler

To simulate a quantum system with continuous degrees of freedom on a quantum computer based on quantum digits, it is necessary to reduce continuous observables (primarily coordinates and momenta) to discrete observables. We consider this…

量子物理 · 物理学 2021-11-16 M. G. Ivanov , A. Yu. Polushkin

We will pick up the concepts of partial and complete observables introduced by Rovelli in order to construct Dirac observables in gauge systems. We will generalize these ideas to an arbitrary number of gauge degrees of freedom. Different…

广义相对论与量子宇宙学 · 物理学 2008-11-26 B. Dittrich

A large class of polarized and unpolarized deep inelastic data is successfully described with Fermi-Dirac functions for the non-diffractive part of quark parton distributions. The NLO approach used here improves the agreement with…

高能物理 - 唯象学 · 物理学 2007-05-23 F. Buccella , O. Pisanti , L. Rosa

We introduce a systematically improvable family of variational wave functions for the simulation of strongly correlated fermionic systems. This family consists of Slater determinants in an augmented Hilbert space involving "hidden"…

强关联电子 · 物理学 2022-08-18 Javier Robledo Moreno , Giuseppe Carleo , Antoine Georges , James Stokes

We analyse an ambiguity in previous works on entanglement of fermionic fields in non-inertial frames. This ambiguity, related to the anticommutation properties of field operators, leads to non-unique results when computing entanglement…

量子物理 · 物理学 2011-06-27 M. Montero , E. Martin-Martinez

We study a fermionic atom optics counterpart of parametric down-conversion with photons. This can be realized through dissociation of a Bose-Einstein condensate of molecular dimers consisting of fermionic atoms. We present a theoretical…

其他凝聚态物理 · 物理学 2009-11-11 K. V. Kheruntsyan

A reformulation of fermionic QFT in electromagnetic backgrounds is presented which uses methods analogous to those of conventional multiparticle quantum mechanics. Emphasis is placed on the (Schr\"odinger picture) states of the system,…

高能物理 - 理论 · 物理学 2009-11-07 Carl E. Dolby , Stephen F. Gull

In this work we launch a systematic theory of superconformal blocks for four-point functions of arbitrary supermultiplets. Our results apply to a large class of superconformal field theories including 4-dimensional models with any number…

高能物理 - 理论 · 物理学 2020-02-19 Ilija Buric , Volker Schomerus , Evgeny Sobko

We adopt an operatorial method based on the so-called creation, annihilation and number operators in the description of different systems in which two populations interact and move in a two-dimensional region. In particular, we discuss…

生物物理 · 物理学 2012-07-13 Fabio Bagarello , Francesco Oliveri

The quantum-mechanical state vector is not directly observable even though it is the fundamental variable that appears in Schrodinger's equation. In conventional time-dependent perturbation theory, the state vector must be calculated before…

量子物理 · 物理学 2009-11-07 J. D. Franson , Michelle M. Donegan

We apply the method of the large spin bootstrap to analyse fermionic conformal field theories with weakly broken higher spin symmetry. Through the study of correlators of composite operators, we find the anomalous dimensions and OPE…

高能物理 - 理论 · 物理学 2018-02-14 Mark van Loon

We study the emergence of Dirac fermionic field in the low energy description of non-relativistic dynamical models on graphs admitting continuum limit. The Dirac fermionic field appears as the effective field describing the excitations…

高能物理 - 理论 · 物理学 2015-06-03 Corneliu Sochichiu

The extended algebra of the free electromagnetic fields, including infrared singular fields, and the almost radial gauge, both introduced earlier, are postulated for the construction of the quantum electrodynamics in a Hilbert space (no…

数学物理 · 物理学 2024-08-26 Andrzej Herdegen

We extend the adiabatic regularization method to spin-1/2 fields. The ansatz for the adiabatic expansion for fermionic modes differs significantly from the WKB-type template that works for scalar modes. We give explicit expressions for the…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Aitor Landete , Jose Navarro-Salas , Francisco Torrenti

Simulating strongly correlated fermionic systems remains a fundamental challenge in quantum physics, largely due to the sign problem in quantum Monte Carlo (QMC) methods. We present a neural network-based variational Monte Carlo (NN-VMC)…

计算物理 · 物理学 2025-09-09 William Freitas , B. Abreu , S. A. Vitiello

Within the framework of the Schr\"odinger Functional (SF), we outline how to combine Numerical Stochastic Perturbation Theory (NSPT) and PCAC relations to determine the two-loop contributions to the improvement coefficients $c_A$ and…

高能物理 - 格点 · 物理学 2010-11-05 C. Torrero , G. S. Bali