Finite BRST Mapping in Higher Derivative Models
arXiv:1706.03769 · doi:10.1007/s13538-017-0503-2
Abstract
We continue the study of finite field dependent BRST (FFBRST) symmetry in the quantum theory of gauge fields. An expression for the Jacobian of path integral measure is presented, depending on a finite field-dependent parameter, and the FFBRST symmetry is then applied to a number of well-established quantum gauge theories in a form which includes higher-derivative terms. Specifically, we examine the corresponding versions of the Maxwell theory, non-Abelian vector field theory, and gravitation theory. We present a systematic mapping between different forms of gauge-fixing, including those with higher-derivative terms, for which these theories have better renormalization properties. In doing so, we also provide the independence of the S-matrix from a particular gauge-fixing with higher derivatives. Following this method, a higher-derivative quantum action can be constructed for any gauge theory in the FFBRST framework.
9 pages, published in Braz. J. Phys
References in corpus (68)
- f(R) Theories Of Gravity
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Modeling Multiple M2's
- Comments on Multiple M2-branes
- Very Special Relativity
- General Very Special Relativity is Finsler Geometry
- Cosmological and black hole brane-world Universes in higher derivative gravity
- Consistency of Higher Derivative Gravity in the Brane Background
- Anisotropic harmonic oscillator, non-commutative Landau problem and exotic Newton-Hooke symmetry
- Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane
- Off-shell nilpotent finite BRST/anti-BRST transformations
- Equivalence between two different field-dependent BRST formulations
- Application of finite field-dependent BRS transformations to problems of the Coulomb gauge
- Finite BRST Transformations for the Bagger-Lambert-Gustavasson Theory
- Hermitian Analyticity, IR/UV Mixing and Unitarity of Noncommutative Field Theories
- Non Abelian Fields in Very Special Relativity
- Relating Gribov-Zwanziger theory to effective Yang-Mills theory
- Finite nilpotent symmetry in Batalin-Vilkovisky formalism
- Canonical Structure of Higher Derivative Gravity in 3D
- Field-dependent BRST-antiBRST Transformations in Yang-Mills and Gribov-Zwanziger Theories
- Field dependent nilpotent symmetry for gauge theories
- Generalized BRST transformation in Abelian rank-2 antisymmetric tensor field theory
- W-symmetry and the rigid particle
- Sim(2) and SUSY
- Testing symmetries in effective models of higher derivative field theories
- A Complete Classification of Higher Derivative Gravity in 3D and Criticality in 4D
- BRST symmetry and -algebra in higher derivative models
- Aspects of finite field-dependent symmetry in SU(2) Cho-Faddeev-Niemi decomposition
- Gauge theory and SIM(2) superspace
- Triviality of Higher Derivative Theories
- Finite BRST transformation and constrained systems
- Gauge invariances of higher derivative Maxwell-Chern-Simons field theory -- a new Hamiltonian approach
- On the higher-derivative supersymmetric gauge theory
- ABJM theory in Batalin-Vilkovisky formulation
- Very Special Relativity in Curved Space-Times
- Finite field-dependent BRST symmetry for ABJM theory in superspace
- The noncovariant gauges in 3-form theories
- Finite field-dependent symmetries in perturbative quantum gravity
- Finite BRST-antiBRST Transformations in Lagrangian Formalism
- Generalized BRST Symmetry and Gaugeon Formalism for Perturbative Quantum Gravity: Novel Observation
- Generalized BRST symmetry for arbitrary spin conformal field theory
- Field-dependent quantum gauge transformation
- Very Special (de Sitter) Relativity
- Field-dependent symmetries in Friedmann-Robertson-Walker models
- N=1 super-Chern-Simons theory in Batalin-Vilkovisky formulation
- IR finite graviton propagators in de Sitter spacetime
- Generalized supersymmetry and sigma models
- Gauge symmetry and W-algebra in higher derivative systems
- The conformal gauge to the derivative gauge for worldsheet gravity
- Extended Gauge Invariance in Geometrical Particle Models and the Geometry of W-Symmetry
- Comments on interactions in the SUSY models
- Quantum Gauge Freedom in Very Special Relativity
- Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model
- Perturbative quantum gravity in Batalin-Vilkovisky formalism
- Gaugeon Formalism for Perturbative Quantum Gravity
- Field-Dependent BRST-antiBRST Lagrangian Transformations
- Quantum charged rigid membrane
- Anti-FFBRST Transformations for the BLG Theory in Presence of a Boundary
- Nilpotent Symmetries in Super-Group Field Cosmology
- Reducible gauge theories in very special relativity
- Gauge symmetry and Virasoro algebra in quantum charged rigid membrane -- a first order formalism
- Gauge fixing in higher derivative field theories
- Green's Functions in Perturbative Quantum Gravity
- BRST symmetry for Regge-Teitelboim based minisuperspace models
- Emergence of Lowenstein-Zimmermann mass terms for QED
- BRST symmetry and Darboux transformations in Abelian 2-form gauge theory