A gauge-invariant interaction between a charged spinor field and a propagating torsion field

1981 ◽  
Vol 30 (7) ◽  
pp. 193-198 ◽  
Author(s):  
V. De Sabbata ◽  
M. Gasperini
Keyword(s):  
Spinor Field ◽  
Gauge Invariant ◽  
Torsion Field ◽  
Invariant Interaction

scholarly journals CONFORMAL INVARIANT INTERACTION OF A SCALAR FIELD WITH HIGHER SPIN FIELD IN AdSD

2010 ◽  
Vol 25 (16) ◽  
pp. 1333-1348 ◽  
Author(s):  
RUBEN MANVELYAN ◽  
KARAPET MKRTCHYAN
Keyword(s):  
Scalar Field ◽  
Gauge Field ◽  
Explicit Form ◽  
Gauge Fields ◽  
Conformal Invariant ◽  
Gauge Invariant ◽  
Exact Agreement ◽  
Higher Spin ◽  
Spin Fields ◽  
Invariant Interaction

The explicit form of linearized gauge invariant interactions of scalar and general higher even spin fields in the AdSD space is obtained. In the case of general spin-ℓ a generalized "Weyl" transformation is proposed and the corresponding "Weyl" invariant action is constructed. In both cases the invariant actions of the interacting higher even spin gauge field and the scalar field include the whole tower of invariant actions for couplings of the same scalar with all gauge fields of smaller even spin. For the particular value of ℓ = 4, all results are in exact agreement with Ref. 1.

Supersymmetric gauge-invariant interaction revisited

1984 ◽  
Vol 81 (2) ◽  
pp. 440-446
Author(s):  
A. W. Smith ◽  
J. B. Neto
Keyword(s):  
Gauge Invariant ◽  
Supersymmetric Gauge ◽  
Invariant Interaction

scholarly journals Primordial Torsion Fields as an Explanation of the Anisotropy in Cosmological Electromagnetic Propagation

1997 ◽  
Vol 12 (38) ◽  
pp. 3003-3007 ◽  
Author(s):  
Antonio Dobado ◽  
Antonio L. Maroto
Keyword(s):  
New Physics ◽  
Simple Explanation ◽  
Effective Coupling ◽  
Electromagnetic Propagation ◽  
Gauge Invariant ◽  
Torsion Field

In this letter we provide a simple explanation of the recent finding of anisotropy in electromagnetic (EM) propagation claimed by Nodland and Ralston. We consider, as a possible origin of such effect, the effective coupling between EM fields and some tiny background torsion field. The coupling is obtained after integrating out charged fermions, it is gauge-invariant and does not require the introduction of any new physics.

Matter interactions of a three-dimensional gauge theory

1992 ◽  
Vol 70 (6) ◽  
pp. 385-387
Author(s):  
D. G. C. McKeon
Keyword(s):  
Gauge Theory ◽  
Tensor Field ◽  
Three Dimensional ◽  
Lorentz Symmetry ◽  
Three Dimensions ◽  
Gauge Invariant ◽  
Spontaneous Breakdown ◽  
Graviton Propagator ◽  
Invariant Interaction ◽  
Matter Fields

A recently introduced three-dimensional gauge theory involves a tensor field Tμν. In this paper we show how this field can interact with matter fields in a gauge-invariant fashion. The possibility of spontaneous breakdown of Lorentz symmetry is considered. An additional gauge-invariant interaction for Tμν is introduced. The field Tμν interacts with gravity; we compute the η function associated with the graviton propagator and show that it is proportional to the bilinear term in the Chem–Simons action for gravity in three dimensions.

Electromagnetic spin creates torsion

2018 ◽  
Vol 27 (14) ◽  
pp. 1847005 ◽  
Author(s):  
Richard T. Hammond
Keyword(s):  
Electromagnetic Field ◽  
Gauge Invariance ◽  
Minimal Coupling ◽  
Gauge Invariant ◽  
Gauge Freedom ◽  
Torsion Field ◽  
Invariant Description ◽  
Covariant Gauge

It is shown the intrinsic spin, and only the spin, of the electromagnetic field creates torsion. The struggle raged for decades: How to reconcile the facts that photons have spin, but minimal coupling breaks gauge invariance and therefore must be abandoned, leaving us with the unphysical situation in which spin does not create torsion. By generalizing the gauge freedom of the torsion field, a covariant, gauge-invariant description is found whereby the electromagnetic spin creates a torsion field. In fact, it is shown if electromagnetic gauge invariance holds, torsion must be present.

The Standard Theory

2017 ◽  
Author(s):  
John Iliopoulos
Keyword(s):  
Gauge Theory ◽  
Invariant Theory ◽  
Standard Theory ◽  
Strong Interactions ◽  
Gauge Invariant ◽  
Electromagnetic Interactions ◽  
Protons And Neutrons ◽  
Free Particles ◽  
Theoretical Predictions ◽  
Theory And Experiment

All ingredients of the previous chapters are combined in order to build a gauge invariant theory of the interactions among the elementary particles. We start with a unified model of the weak and the electromagnetic interactions. The gauge symmetry is spontaneously broken through the BEH mechanism and we identify the resulting BEH boson. Then we describe the theory known as quantum chromodynamics (QCD), a gauge theory of the strong interactions. We present the property of confinement which explains why the quarks and the gluons cannot be extracted out of the protons and neutrons to form free particles. The last section contains a comparison of the theoretical predictions based on this theory with the experimental results. The agreement between theory and experiment is spectacular.

scholarly journals Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Nakao Hayashi ◽  
Chunhua Li ◽  
Pavel I. Naumkin
Keyword(s):  
Lower Bound ◽  
Positive Root ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Time Decay ◽  
Large Initial Data ◽  
Initial Value ◽  
Optical Fields ◽  
Gauge Invariant ◽  
Dissipative Condition

We consider the initial value problem for the nonlinear dissipative Schrödinger equations with a gauge invariant nonlinearityλup-1uof orderpn<p≤1+2/nfor arbitrarily large initial data, where the lower boundpnis a positive root ofn+2p2-6p-n=0forn≥2andp1=1+2forn=1.Our purpose is to extend the previous results for higher space dimensions concerningL2-time decay and to improve the lower bound ofpunder the same dissipative condition onλ∈C:Im⁡ λ<0andIm⁡ λ>p-1/2pRe λas in the previous works.

scholarly journals Gauge invariance, polar coordinates and inflation

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ali Akil ◽  
Xi Tong
Keyword(s):  
Coordinate System ◽  
Effective Potential ◽  
Gauge Invariance ◽  
Polar Coordinates ◽  
Quantum Corrections ◽  
Background Current ◽  
Gauge Invariant ◽  
Gauge Dependence ◽  
Current Term ◽  
Invariant Current

Abstract We point out the necessity of resolving the apparent gauge dependence in the quantum corrections of cosmological observables for Higgs-like inflation models. We highlight the fact that this gauge dependence is due to the use of an asymmetric background current which is specific to a choice of coordinate system in the scalar manifold. Favoring simplicity over complexity, we further propose a practical shortcut to gauge-independent inflationary observables by using effective potential obtained from a polar-like background current choice. We demonstrate this shortcut for several explicit examples and present a gauge-independent prediction of inflationary observables in the Abelian Higgs model. Furthermore, with Nielsen’s gauge dependence identities, we show that for any theory to all orders, a gauge-invariant current term gives a gauge-independent effective potential and thus gauge-invariant inflationary observables.

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