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We study the gauge invariance of laser-matter interaction. The velocity gauge where the vector potential is expanded to the $n$-th order with respect to the spatial coordinate, and the length gauge where the electric and magnetic fields are…

Atomic Physics · Physics 2018-12-19 Ryoji Anzaki , Yasushi Shinohara , Takeshi Sato , Kenichi L. Ishikawa

Using the recent proposal for the observables in open string field theory, we explicitly compute the coupling of closed string tachyon and massless states with the open string states up to level two. Using these couplings, we then calculate…

High Energy Physics - Theory · Physics 2009-11-07 Mohsen Alishahiha , Mohammad R. Garousi

The two-photon-exchange diagrams for atoms with single valence electrons are investigated. Calculation formulas are derived for an arbitrary state within the rigorous bound-state QED framework utilizing the redefined vacuum formalism. In…

Atomic Physics · Physics 2022-06-16 R. N. Soguel , A. V. Volotka , E. V. Tryapitsyna , D. A. Glazov , V. P. Kosheleva , S. Fritzsche

In undergraduate electromagnetism courses, the Lorenz gauge condition is often presented as a convenient mathematical choice that decouples the wave equations for the scalar and vector potentials. While true, this presentation may leave…

Classical Physics · Physics 2025-09-03 Alexsandro Lucena Mota

Open string field theory in the level truncation approximation is considered. It is shown that the energy conservation law determines existence of rolling tachyon solution. The coupling of the open string field theory action to a…

High Energy Physics - Theory · Physics 2010-02-03 Liudmila Joukovskaya

Based on the Ginsparg-Wilson relation, a gauge invariant formulation of electroweak SU(2)xU(1) gauge theory on the lattice is considered. If the hypercharge gauge coupling is turned off in the vacuum sector of the U(1) gauge fields, the…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshio Kikukawa , Yoichi Nakayama , Hiroshi Suzuki

In this paper we put forward a systematic and unifying approach to construct gauge invariant composite fields out of connections. It relies on the existence in the theory of a group valued field with a prescribed gauge transformation. As an…

Mathematical Physics · Physics 2014-12-08 Cédric Fournel , Jordan François , Serge Lazzarini , Thierry Masson

Gauge-invariant Wigner theory describes the quantum-mechanical evolution of charged particles in the presence of an electromagnetic field in phase space, which is spanned by position and kinetic momentum. This approach is independent of the…

Quantum Physics · Physics 2025-06-16 Clemens Etl , Mauro Ballicchia , Mihail Nedjalkov , Hans Kosina

Based on an effective field theory of hadrons in which quantum chromodynamics is assumed to provide the necessary bare cutoff functions, a gauge-invariant theory of pion photoproduction with fully dressed nucleons is developed. The…

Nuclear Theory · Physics 2008-11-26 Helmut Haberzettl

We discuss quantum scale invariance in (scale invariant) gauge theories with both ultraviolet (UV) and infrared (IR) divergences. Firstly, their BRST invariance is checked in two apparently unrelated approaches using a scale invariant…

High Energy Physics - Phenomenology · Physics 2023-04-19 Matthias Weißwange , Dumitru M. Ghilencea , Dominik Stöckinger

We calculate Wilson loops on boundaries of Lifshitz-like dual backgrounds with different scaling parameters, assuming existence of a field theory dual to string theory in the bulk. We consider scaling parameters to be variable quantities…

High Energy Physics - Theory · Physics 2009-09-19 Peter Koroteev , A. V. Zayakin

It is shown that gauge theories are most naturally studied via a polar decomposition of the field variable. Gauge transformations may be viewed as those that leave the density invariant but change the phase variable by additive amounts. The…

Other Condensed Matter · Physics 2016-08-31 Girish S. Setlur

It is generally assumed that quantum field theory (QFT) is gauge invariant. However it is well known that non-gauge invariant terms appear in various calculations. This problem was examined in Refs. [3] and [4] and it was shown that at the…

Quantum Physics · Physics 2007-09-12 Dan Solomon

We study the gauge invariance of physical observables in holographic theories under the local diffeomorphism. We find that gauge invariance is intimately related to the holographic renormalisation: the local counter terms defined in the…

High Energy Physics - Theory · Physics 2015-07-29 Keun-Young Kim , Kyung Kiu Kim , Yunseok Seo , Sang-Jin Sin

We consider the case of coherent gauge invariant operators in the SU(3) and SO(4) sectors. We argue that in many cases, these sectors can be closed in the thermodynamic limit, even at higher loops. We then use a modification of the Bethe…

High Energy Physics - Theory · Physics 2010-02-03 Joseph A. Minahan

The concept of perturbative gauge invariance formulated exclusively by means of asymptotic fields is used to construct massive gauge theories. We consider the interactions of $r$ massive and $s$ massless gauge fields together with $(r+s)$…

High Energy Physics - Theory · Physics 2009-10-31 Günter Scharf

Nonequilibrium calculations in the presence of an electric field are usually performed in a gauge, and need to be transformed to reveal the gauge-invariant observables. In this work, we discuss the issue of gauge invariance in the context…

Strongly Correlated Electrons · Physics 2015-10-28 J. K. Freericks , H. R. Krishnamurthy , M. A. Sentef , T. P. Devereaux

Noncommutativity in an open string moving in a background Neveu-Schwarz field is investigated in a gauge independent Hamiltonian approach, leading to new results. The noncommutativity is shown to be a direct consequence of the non-trivial…

High Energy Physics - Theory · Physics 2009-11-07 Rabin Banerjee , Biswajit Chakraborty , Subir Ghosh

At the classical level we study open bosonic strings. A generic description of string self-interactions localized at string ends is given. Self-interactions are characterized by two dimensionless coupling constants. The model is rewritten…

High Energy Physics - Theory · Physics 2015-06-26 Pawel Wegrzyn

When the electroweak action is rewritten in terms of SU(2) gauge invariant variables, the Higgs can be interpreted as a conformal metric factor. We show that asymptotic flatness of the metric is required to avoid a Gribov problem: without…

High Energy Physics - Theory · Physics 2010-07-12 Anton Ilderton , Martin Lavelle , David McMullan
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