scholarly journals Instant-Form and Light-Front Hamiltonian and Path Integral Formulations of the Conformally Gauge-Fixed Polyakov D1-Brane Action in the Presence of a Scalar Axion Field and an <i>U</i>(1) Gauge Field

2013 ◽  
Vol 04 (04) ◽  
pp. 57-69
Author(s):  
Usha Kulshreshtha ◽  
Daya S. Kulshreshtha
Keyword(s):  
Gauge Field ◽  
Path Integral ◽  
Light Front ◽  
Instant Form ◽  
Axion Field ◽  
Brane Action

LIGHT-FRONT HAMILTONIAN AND PATH INTEGRAL QUANTIZATION OF VECTOR SCHWINGER MODEL WITH A PHOTON MASS TERM

2012 ◽  
Vol 27 (27) ◽  
pp. 1250157 ◽  
Author(s):  
USHA KULSHRESHTHA
Keyword(s):  
Path Integral ◽  
Light Cone ◽  
Mass Term ◽  
Light Front ◽  
Light Cone Gauge ◽  
Schwinger Model ◽  
Path Integral Quantization ◽  
New Class ◽  
Gauge Fixing ◽  
Form Theory

Vector Schwinger model with a mass term for the photon, describing 2D electrodynamics with massless fermions, studied by us recently [U. Kulshreshtha, Mod. Phys. Lett. A22, 2993 (2007); U. Kulshreshtha and D. S. Kulshreshtha, Int. J. Mod. Phys. A22, 6183 (2007); U. Kulshreshtha, PoS LC2008, 008 (2008)], represents a new class of models. This theory becomes gauge-invariant when studied on the light-front. This is in contrast to the instant-form theory which is gauge-non-invariant. In this work, we study the light-front Hamiltonian and path integral quantization of this theory under appropriate light-cone gauge-fixing. The discretized light-cone quantization of the theory where we wish to make contact with the experimentally observational aspects of the theory would be presented in a separate paper.

scholarly journals SELF-DUALITY OF SUPER D3-BRANE ACTION ON AdS5×S5 BACKGROUND

1999 ◽  
Vol 14 (05) ◽  
pp. 327-335 ◽  
Author(s):  
T. KIMURA
Keyword(s):  
Gauge Field ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Duality Transformation ◽  
Self Duality ◽  
World Volume ◽  
The World ◽  
Gauge Fixing ◽  
Necessary And Sufficient ◽  
Brane Action

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.

scholarly journals Topological violation of global symmetries in quantum gravity

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.

GAUGE FIELD DIVERGENCES IN THE LIGHT-FRONT

2003 ◽  
Author(s):  
B.M. PIMENTEL ◽  
J.H.O. SALES ◽  
T. FREDERICO
Keyword(s):  
Gauge Field ◽  
Light Front

scholarly journals Comments on open string with ‘massive’ boundary term

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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