Noncommutativity and Non-anticommutativity in Perturbative Quantum Gravity
arXiv:1204.0295 · doi:10.1142/S0217732312500757
Abstract
In this paper we will study perturbative quantum gravity on supermanifolds with both noncommutative and non-anticommutative coordinates. We shall first analyses the BRST and the anti-BRST symmetries of this theory. Then we will also analyze the effect of shifting all the fields of this theory in background field method. We will construct a Lagrangian density which apart from being invariant under the extended BRST transformations is also invariant under on-shell extended anti-BRST transformations. This will be done by using the Batalin-Vilkovisky (BV) formalism. Finally, we will show that the sum of the gauge-fixing term and the ghost term for this theory can be elegantly written down in superspace with two Grassmann parameters.
9 pages, 0 figures, accepted for publication in Mod. Phys. Lett. A
References in corpus (7)
- Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
- A Superspace Formulation of The BV Action for Higher Derivative Theories
- BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity
- On the FP-ghost propagators for Yang-Mills theories and perturbative quantum gravity in the covariant gauge in de Sitter spacetime
- Perturbative Quantum Gravity on Complex Spacetime
- Noncommutative Standard Model in Top Quark Sector
- N=1/2 supergravity with matter in four Euclidean dimensions
Cited by in corpus (25)
- Charged Dilatonic Black Holes in Gravity's Rainbow
- Critical behavior of charged black holes in Gauss-Bonnet gravity`s rainbow
- Thermodynamic instability of nonlinearly charged black holes in gravity's rainbow
- Nonsingular universe in massive gravity's rainbow
- Branes in Gravity's Rainbow
- Black hole thermodynamics in Lovelock gravity's rainbow with (A)dS asymptote
- Time Crystals from Minimum Time Uncertainty
- Nonlocal Teleparallel Cosmology
- The Path Integral Quantization corresponding to the Deformed Heisenberg Algebra
- IR finite graviton propagators in de Sitter spacetime
- Quantum Gauge Freedom in Very Special Relativity
- Gaugeon Formalism for Perturbative Quantum Gravity
- Cosmological reconstruction and {\it Om} diagnostic analysis of Einstein-Aether Theory
- Anti-FFBRST Transformations for the BLG Theory in Presence of a Boundary
- Thermodynamics of a charged particle in a noncommutative plane in a background magnetic field
- Classical electrodynamics in a space with spin noncommutativity of coordinates
- Quaternionic Quantization Principle in General Relativity and Supergravity
- Novel Symmetries in Christ-Lee Model
- Nonlinearly charged dilatonic black holes and their Brans-Dicke counterpart: Energy dependent spacetime
- Super-group field cosmology in Batalin-Vilkovisky formulation
- Black Holes Thermodynamics in a new kind of Noncommutative Geometry
- General Formalism For the BRST Symmetry
- The Effect of Modified Dispersion Relation on Dumb Holes
- Scalar Field Theory on Supermanifolds
- Gauge Theory on a Four Sphere