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In this article we provide a manifestly gauge-invariant approach to charged particles. It involves (1) Green functions of gauge-invariant operators and (2) Feynman rules which do not depend on any kind of gauge-fixing condition. First, we…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Schenk

The fermion propagator in an arbitrary covariant gauge can be obtained from the Landau gauge result via a Landau-Khalatnikov-Fradkin transformation. This transformation can be written in a practically useful form in both configuration and…

高能物理 - 唯象学 · 物理学 2009-11-10 A. Bashir , A. Raya , S. Sanchez-Madrigal , C. D. Roberts

There is solid consensus among physicists and philosophers that, in gauge field theory, for a quantity to be physically meaningful or real, it must be gauge-invariant. Yet, every "elementary" field in the Standard Model of particle physics…

物理学史与哲学 · 物理学 2025-01-23 Philipp Berghofer , Jordan François

We study the gauge dependence of the quark propagator in quantum chromodynamics by solving the gap equation with a nonperturbative quark-gluon vertex which is constrained by longitudinal and transverse Slavnov-Taylor identities, the…

高能物理 - 唯象学 · 物理学 2023-04-26 José Roberto Lessa , Fernando E. Serna , Bruno El-Bennich , Adnan Bashir , Orlando Oliveira

As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions. In our approach gauge invariance is broken, but it is…

高能物理 - 格点 · 物理学 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

High-order cumulants and factorial cumulants of conserved charges are suggested to study the critical dynamics in heavy-ion collision experiments. In this paper, using the parametric representation of the three-dimensional Ising model which…

核理论 · 物理学 2022-03-22 Xue Pan

The gap parameter for color superconductivity is expected to be a gauge invariant quantity, at least on the appropriate mass shell. Computing the gap to subleading order in the QCD coupling constant, g, we show that the prefactor of the…

核理论 · 物理学 2009-11-07 R. D. Pisarski , D. H. Rischke

This letter examines diagrammatic cancellations for Quantum Electrodynamics (QED) in the general linear gauge. These cancellations combine Feynman graphs of various topologies and provide a method to reconstruct the gauge dependence of the…

高能物理 - 理论 · 物理学 2016-12-20 Henry Kißler , Dirk Kreimer

Gauge invariance is essential for making physically meaningful predictions. In superconductors, mean-field Hamiltonians that explicitly break $U(1)$ symmetry often yield gauge-dependent results. While this issue has been resolved for linear…

超导电性 · 物理学 2025-05-19 Sena Watanabe , Haruki Watanabe

We argue that the gauge-fermion interaction in multiflavour quantum electrodynamics in $(2 + 1)$-dimensions is responsible for non-fermi liquid behaviour in the infrared, in the sense of leading to the existence of a non-trivial (quasi)…

高能物理 - 理论 · 物理学 2009-10-28 I. J. R. Aitchison , N. E. Mavromatos

Dynamical nature of the gauge degree of freedom and its effect to fermion spectrum are studied for four-dimensional nonabelian chiral gauge theory in the vacuum overlap formulation. The covariant gauge fixing term and the Faddeev-Popov…

高能物理 - 格点 · 物理学 2007-05-23 Yoshio Kikukawa

Restrictions imposed by gauge invariance in noncommutative spaces together with the effects of ultraviolet/infrared mixing lead to strong constraints on possible candidates for a noncommutative extension of the Standard Model. We study a…

高能物理 - 唯象学 · 物理学 2009-11-11 S. A. Abel , J. Jaeckel , V. V. Khoze , A. Ringwald

Gauging extra matter is a common way to couple two CFTs discontinuously. We may consider gauging matter by strongly coupled gauge theories at criticality rather than by weakly coupled (asymptotic free) gauge theories. It often triggers…

高能物理 - 理论 · 物理学 2015-09-30 Yu Nakayama

It is known that the covariant graviton two-point function in de Sitter spacetime is infrared divergent for some choices of gauge parameters. On the other hand it is also known that there are no infrared divergences requiring an infrared…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Mir Faizal , Atsushi Higuchi

We investigate the dependence on parameters for second order difference equations with two point boundary value conditions by using a variational method in case when the corresponding Euler action functional is coercive. Some applications…

经典分析与常微分方程 · 数学 2012-12-07 Marek Galewski

We analyze the infrared behavior of effective N-point interactions between order parameter fluctuations for nematic and other quantum critical electron systems with a scalar order parameter in two dimensions. The interactions exhibit a…

强关联电子 · 物理学 2015-05-30 Stephan Thier , Walter Metzner

The gauge field term in the Standard Model Lagrangian is slightly rewritten, suggesting that the three gauge couplings have absorbed factors which depend on the dimensions of the corresponding gauge groups. The ratios of the physical…

高能物理 - 理论 · 物理学 2007-05-23 Ralf Alfons Engeldinger

We re-examine the perturbative properties of four-dimensional non-commutative QED by extending the pinch techniques to the theta-deformed case. The explicit independence of the pinched gluon self-energy from gauge-fixing parameters, and the…

高能物理 - 理论 · 物理学 2009-11-11 Nicola Caporaso , Sara Pasquetti

The fermion flavor $N_f$ dependence of non-perturbative solutions in the strong coupling phase of the gauge theory is reexamined based on the interrelation between the inversion method and the Schwinger-Dyson equation approach. Especially…

高能物理 - 理论 · 物理学 2009-10-28 Kei-Ichi Kondo , Takuya Iizuka , Eiji Tanaka , Toru Ebihara

Starting from the Weyl gauge formulation of quantum electrodynamics (QED), the formalism of quantum-mechanical gauge fixing is extended using techniques from nonrelativistic QED. This involves expressing the redundant gauge degrees of…

量子物理 · 物理学 2013-06-17 Adam Stokes