Conformally gauge-fixed Polyakov D1-brane action in the presence of a 2-form gauge field: the instant-form and front-form Hamiltonian and path integral formulations

We show that the super D3-brane action on AdS5×S5 background recently constructed by Metsaev and Tseytlin is exactly invariant under the combination of the electric–magnetic duality transformation of the world-volume gauge field and the SO(2) rotation of N=2 spinor coordinates. The action is shown to satisfy the Gaillard–Zumino duality condition, which is a necessary and sufficient condition for an action to be self-dual. Our proof needs no gauge fixing for the κ-symmetry.

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QUANTUM FORMALISM VIA FEYNMAN PATH INTEGRAL FOR THE ELECTROMAGNETIC INTERACTION OF COMPOSITE PARTICLES IN NONRELATIVISTIC GAUGE FIELD MODELS

Anales AFA ◽

10.31527/analesafa.2011.22.2.89 ◽

2012 ◽

Vol 22 (2) ◽

pp. 89-95

Author(s):

E. C. Manavella

Keyword(s):

Gauge Field ◽

Path Integral ◽

Electromagnetic Interaction ◽

Composite Particles ◽

Feynman Path Integral ◽

Feynman Path ◽

Quantum Formalism

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Topological violation of global symmetries in quantum gravity

Journal of High Energy Physics ◽

10.1007/jhep09(2021)036 ◽

2021 ◽

Vol 2021 (9) ◽

Author(s):

Kazuya Yonekura

Keyword(s):

Quantum Gravity ◽

Global Symmetries ◽

Gauge Field ◽

Path Integral ◽

Black Brane ◽

Current Conservation ◽

Charge Conservation ◽

Local Current ◽

Topological Construction ◽

Breaking Term

Abstract We discuss a topological reason why global symmetries are not conserved in quantum gravity, at least when the symmetry comes from compactification of a higher form symmetry. The mechanism is purely topological and does not require any explicit breaking term in the UV Lagrangian. Local current conservation does not imply global charge conservation in a sum over geometries in the path integral. We explicitly consider the shift symmetry of an axion-like field which originates from the compactification of a p-form gauge field. Our topological construction is motivated by the brane/black-brane correspondence, brane instantons, and an idea that virtual black branes of a simple kind may be realized by surgery on spacetime manifolds.

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Comments on open string with ‘massive’ boundary term

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2019.0748 ◽

2020 ◽

Vol 476 (2236) ◽

pp. 20190748

Author(s):

Arkady A. Tseytlin

Keyword(s):

Scattering Amplitudes ◽

Partition Function ◽

Gauge Field ◽

Path Integral ◽

Open String ◽

One Dimensional ◽

Conformally Invariant ◽

Additional Constant ◽

The One ◽

Definition Of

We discuss possible definition of open string path integral in the presence of additional boundary couplings corresponding to the presence of masses at the ends of the string. These couplings are not conformally invariant implying that as in a non-critical string case one is to integrate over the one-dimensional metric or reparametrizations of the boundary. We compute the partition function on the disc in the presence of an additional constant gauge field background and comment on the structure of the corresponding scattering amplitudes.

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Dirac Particle in External Non-Abelian Gauge Field

ISRN High Energy Physics ◽

10.1155/2014/375695 ◽

2014 ◽

Vol 2014 ◽

pp. 1-9 ◽

Cited By ~ 1

Author(s):

Bilel Hamil ◽

Lyazid Chetouani

Keyword(s):

Green Function ◽

Gauge Field ◽

Path Integral ◽

Dirac Particle ◽

Integral Formalism ◽

Abelian Gauge ◽

Lorentz Gauge ◽

Path Integral Formalism ◽

The Green Function

The Green function of a Dirac particle in interaction with a non-Abelian SU(N) gauge field exactly and analytically determined via the path integral formalism by using the approach so-called “global projection.” The essential steps in the calculation are the choice of a convenient gauge (Lorentz gauge) and the introduction of two constraints, φ=kx (related to space) and Grassmannian η=kψ (related to Dirac matrices). Furthermore, it is shown that certain selected equations obtained during the integrations can also be classically derived.

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