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In relativistic quantum field theory particles of half-integer spin must obey Fermi-Dirac statistics. Their quantum operators must anticommute at spacelike separation in contrast to commuting physical observables. We show that Fermi-Dirac…

高能物理 - 理论 · 物理学 2018-08-21 Adam Bednorz

These lectures discuss the formulation of quantum mechanics with fractional spin and statistics in 2+1 dimensions in a relativistic setting, emphasizing the path-integral approach. The non-relativistic theory is reviewed from a…

高能物理 - 理论 · 物理学 2007-05-23 Stefano Forte

A general formulation of classical relativistic particle mechanics is presented, with an emphasis on the fact that superluminal velocities and nonlocal interactions are compatible with relativity. Then a manifestly relativistic-covariant…

高能物理 - 理论 · 物理学 2019-11-19 H. Nikolic

Using the light-cone gauge approach to relativistic field dynamics, we study arbitrary spin fermionic and bosonic fields propagating in flat space of dimension greater than or equal to four. Generating functions of parity invariant cubic…

高能物理 - 理论 · 物理学 2015-05-13 R. R. Metsaev

We analyse nonperturbatively signal transmission patterns in Green's functions of interacting quantum fields. Quantum field theory is re-formulated in terms of the nonlinear quantum-statistical response of the field. This formulation…

量子物理 · 物理学 2008-11-26 L. I. Plimak , S. Stenholm

The variational method in a reformulated Hamiltonian formalism of Quantum Electrodynamics is used to derive relativistic wave equations for systems consisting of n fermions and antifermions of various masses. The derived interaction kernels…

量子物理 · 物理学 2015-06-17 Mohsen Emami-Razavi , Nantel Bergeron , Jurij W. Darewych

Presented is a quantum computing model of a quantum field theory for a system of fermions interacting via a massive gauge field. The model describes a relativistic superconducting fluid and uses a metric tensor field to both encode the…

量子物理 · 物理学 2018-02-06 Jeffrey Yepez

A system of two fermions with different masses and interacting by the Coulomb potential is presented in a completely covariant framework. The spin-spin interaction, including the anomalous magnetic moments of the two fermions, is added by…

高能物理 - 唯象学 · 物理学 2015-06-22 A. Barducci , R. Giachetti , E. Sorace

I present a short overview of my recent achievements on the Bohmian interpretation of relativistic quantum mechanics, quantum field theory and string theory. This includes the relativistic-covariant Bohmian equations for particle…

高能物理 - 理论 · 物理学 2008-11-26 H. Nikolic

A realistic physical axiomatic approach of the relativistic quantum field theory is presented. Following the action principle of Schwinger, a covariant and general formulation is obtained. The correspondence principle is not invoked and the…

量子物理 · 物理学 2009-11-10 G. D. Puccini , H. Vucetich

In this note we discuss the invariance under general changes of reference frame of all the physical predictions of particle detector models in quantum field theory in general and, in particular, of those used in quantum optics to model…

量子物理 · 物理学 2018-08-10 Eduardo Martin-Martinez , Pablo Rodriguez-Lopez

We discuss the technique of bosonization for studying systems of interacting fermions in one dimension. After briefly reviewing the low-energy properties of Fermi and Luttinger liquids, we present some of the relations between bosonic and…

强关联电子 · 物理学 2007-05-23 Sumathi Rao , Diptiman Sen

We present the complete first order relativistic quantum kinetic theory with spin for massive fermions derived from the Wigner function formalism in a concise form that shows explicitly how the 32 Wigner equations reduce to 4 independent…

高能物理 - 唯象学 · 物理学 2019-10-02 Jian-Hua Gao , Zuo-Tang Liang

Quantum link models (QLMs) are extensions of Wilson-type lattice gauge theories, and show rich physics beyond the phenomena of conventional Wilson gauge theories. Here we explore the physics of $U(1)$ symmetric QLMs, both using a more…

高能物理 - 格点 · 物理学 2022-09-21 Debasish Banerjee , Emilie Huffman , Lukas Rammelmüller

A simple exposition of the rarely discussed fact that a set of free boson fields describing different, i.e. kinematically different particle types can be quantized with mutual anticommutation relations is given by the explicit construction…

数学物理 · 物理学 2016-07-15 Andreas Aste , Won Sang Chung

The class of relativistic spin particle models reveals the `quantization' of parameters already at the classical level. The special parameter values emerge if one requires the maximality of classical global continuous symmetries. The same…

高能物理 - 理论 · 物理学 2009-10-31 Mikhail Plyushchay

We introduce a concise quantum operator formula for bosonization in which the Lie group structure appears in a natural way. The connection between fermions and bosons is found to be exactly the connection between Lie group elements and the…

综合物理 · 物理学 2015-10-21 Yuan K. Ha

From the Killing spinor equation and the equations satisfied by their bilinears we deduce some well known bosonic and fermionic field equations of mathematical physics. Aside from the trivially satisfied Dirac equation, these relativistic…

广义相对论与量子宇宙学 · 物理学 2018-03-16 Özgür Açık

The purpose of this overview article, which can be viewed as a supplement to our previous review on quantum rings, [S. Viefers {\it et al}, Physica E {\bf 21} (2004), 1-35], is to highlight the differences of boson and fermion systems in…

介观与纳米尺度物理 · 物理学 2012-10-03 M. Manninen , S. Viefers , S. M. Reimann

One of the traditional ways of introducing bosons and fermions is through creation-annihilation algebras. Historically, these have been associated with emission and absorption processes at the quantum level and are characteristic of the…

量子物理 · 物理学 2026-04-15 Nicolás Medina Sánchez , Borivoje Dakić
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