Gauge invariance in the theory of superconductivity

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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A master exceptional field theory

Journal of High Energy Physics ◽

10.1007/jhep06(2021)185 ◽

2021 ◽

Vol 2021 (6) ◽

Author(s):

Guillaume Bossard ◽

Axel Kleinschmidt ◽

Ergin Sezgin

Keyword(s):

Field Theory ◽

Gauge Invariance ◽

Sigma Model ◽

Linear Equations ◽

Field Theories ◽

Gauge Invariant ◽

Non Linear ◽

Non Linear Equations

Abstract We construct a pseudo-Lagrangian that is invariant under rigid E11 and transforms as a density under E11 generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on E11 exceptional field theory and the inclusion of constrained fields that transform in an indecomposable E11-representation together with the E11 coset fields. We show that, in combination with gauge-invariant and E11-invariant duality equations, this pseudo-Lagrangian reduces to the bosonic sector of non-linear eleven-dimensional supergravity for one choice of solution to the section condi- tion. For another choice, we reobtain the E8 exceptional field theory and conjecture that our pseudo-Lagrangian and duality equations produce all exceptional field theories with maximal supersymmetry in any dimension. We also describe how the theory entails non-linear equations for higher dual fields, including the dual graviton in eleven dimensions. Furthermore, we speculate on the relation to the E10 sigma model.

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All-plus helicity off-shell gauge invariant multigluon amplitudes at one loop

Journal of High Energy Physics ◽

10.1007/jhep12(2020)158 ◽

2020 ◽

Vol 2020 (12) ◽

Author(s):

Etienne Blanco ◽

Andreas van Hameren ◽

Piotr Kotko ◽

Krzysztof Kutak

Keyword(s):

Scattering Amplitudes ◽

Gauge Invariance ◽

Arbitrary Number ◽

Gauge Invariant

Abstract We calculate one loop scattering amplitudes for arbitrary number of positive helicity on-shell gluons and one off-shell gluon treated within the quasi-multi Regge kinematics. The result is fully gauge invariant and possesses the correct on-shell limit. Our method is based on embedding the off-shell process, together with contributions needed to retain gauge invariance, in a bigger fully on-shell process with auxiliary quark or gluon line.

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Monopole fluctuation of the CMB and its gauge invariance

Physical Review D ◽

10.1103/physrevd.103.063516 ◽

2021 ◽

Vol 103 (6) ◽

Author(s):

Sandra Baumgartner ◽

Jaiyul Yoo

Keyword(s):

Gauge Invariance

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GAUGE INVARIANCE AND CONSTRAINTS: OPEN GAUGE ALGEBRAS

International Journal of Modern Physics A ◽

10.1142/s0217751x92002519 ◽

1992 ◽

Vol 07 (22) ◽

pp. 5549-5561 ◽

Cited By ~ 1

Author(s):

KH. S. NIROV ◽

P.N. PYATOV ◽

A.V. RAZUMOV

Keyword(s):

Wide Class ◽

Gauge Invariance ◽

Poisson Brackets ◽

Hamiltonian Description ◽

Gauge Invariant

For a wide class of gauge-invariant systems with open gauge algebras the Hamiltonian description is constructed and the Poisson brackets of the constraints are calculated. It is shown that in the case under consideration there arise only first class constraints.

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