scholarly journals COMMENTS ON UNITARITY IN THE ANTIFIELD FORMALISM

1992 ◽  
Vol 07 (29) ◽  
pp. 2703-2713 ◽  
Author(s):  
GLENN BARNICH ◽  
MARC HENNEAUX
Keyword(s):  
Space Time ◽  
Unitary Theory ◽  
Completeness Condition ◽  
Gauge Transformations ◽  
Fixed Action ◽  
Local Completeness ◽  
Derivatives Of ◽  
Gauge Systems

The local completeness condition was introduced in the analysis of the locality of the gauge fixed action for gauge systems. This condition expresses that the gauge transformations and the reducibility coefficients should be described in such a way that they contain as few derivatives of the gauge parameters as possible. We show here that this condition not only guarantees that the gauge fixed action is local in space-time (as proved previously), but also that the antifield formalism leads to a unitary theory.

scholarly journals The relativity of color

2015 ◽  
Vol 30 (35) ◽  
pp. 1550211 ◽  
Author(s):  
Paul D. Stack ◽  
Robert Delbourgo
Keyword(s):  
Space Time ◽  
Coordinate Transformations ◽  
Gauge Transformations ◽  
Time Property ◽  
Property Space ◽  
Lorentz Scalar ◽  
Color Property

By attaching three anticommuting Lorentz scalar (color) property coordinates to space–time, with an appropriate extended metric, we unify gravity with chromodynamics: gauge transformations then just correspond to coordinate transformations in the enlarged space–time-property space.

scholarly journals ON THE UNIQUENESS OF D = 11 INTERACTIONS AMONG A GRAVITON, A MASSLESS GRAVITINO AND A THREE-FORM II: THREE-FORM AND GRAVITINI

2008 ◽  
Vol 23 (30) ◽  
pp. 4841-4859 ◽  
Author(s):  
EUGEN-MIHĂIŢĂ CIOROIANU ◽  
EUGEN DIACONU ◽  
SILVIU CONSTANTIN SĂRARU
Keyword(s):  
Master Equation ◽  
Gauge Field ◽  
Space Time ◽  
Free Solution ◽  
Coupling Constant ◽  
Abelian Gauge ◽  
Gauge Transformations ◽  
Lorentz Covariance ◽  
Brst Cohomology ◽  
Chern Simons

The interactions that can be introduced between a massless Rarita–Schwinger field and an Abelian three-form gauge field in 11 space–time dimensions are analyzed in the context of the deformation of the "free" solution of the master equation combined with local BRST cohomology. Under the hypotheses of smoothness of the interactions in the coupling constant, locality, Poincaré invariance, Lorentz covariance, and the presence of at most two derivatives in the Lagrangian of the interacting theory (the same number of derivatives as in the free Lagrangian), we prove that there are neither cross-couplings nor self-interactions for the gravitino in D = 11. The only possible term that can be added to the deformed solution to the master equation is nothing but a generalized Chern–Simons term for the three-form gauge field, which brings contributions to the deformed Lagrangian, but does not modify the original, Abelian gauge transformations.

Chiral strings, topological branes, and a generalised Weyl-invariance

2019 ◽  
Vol 34 (06n07) ◽  
pp. 1950031 ◽  
Author(s):  
Alex S. Arvanitakis
Keyword(s):  
Field Theory ◽  
Sigma Model ◽  
Space Time ◽  
Symplectic Space ◽  
Topological Field Theory ◽  
Brst Operator ◽  
Weyl Invariance ◽  
Fixed Action ◽  
Twistor Strings ◽  
Topological Field

We introduce a sigma model Lagrangian generalising a number of new and old models which can be thought of as chiral, including the Schild string, ambitwistor strings, and the recently introduced tensionless AdS twistor strings. This “chiral sigma model” describes maps from a [Formula: see text]-brane worldvolume into a symplectic space and is manifestly invariant under diffeomorphisms as well as under a “generalised Weyl invariance” acting on space–time coordinates and worldvolume fields simultaneously. Construction of the Batalin–Vilkovisky master action leads to a BRST operator under which the gauge-fixed action is BRST-exact; we discuss whether this implies that the chiral brane sigma model defines a topological field theory.

scholarly journals NON-ABELIAN TENSOR GAUGE FIELDS I

2006 ◽  
Vol 21 (23n24) ◽  
pp. 4931-4957 ◽  
Author(s):  
GEORGE SAVVIDY
Keyword(s):  
Large Integer ◽  
Gauge Fields ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Higher Derivatives ◽  
Vector Gauge ◽  
Dimensionless Coupling ◽  
Dimensionless Coupling Constant ◽  
Derivatives Of

We suggest an infinite-dimensional extension of gauge transformations which includes non-Abelian tensor gauge fields. In this extension of the Yang–Mills theory the vector gauge boson becomes a member of a bigger family of gauge bosons of arbitrarily large integer spins. The invariant Lagrangian does not contain higher derivatives of tensor gauge fields and all interactions take place through three- and four-particle exchanges with dimensionless coupling constant.

scholarly journals Classical electrodynamics and gauge symmetry of the X-boson

2018 ◽  
Vol 33 (25) ◽  
pp. 1850148
Author(s):  
Mario J. Neves ◽  
Lucas Labre ◽  
L. S. Miranda ◽  
Everton M. C. Abreu
Keyword(s):  
Gauge Symmetry ◽  
Maxwell Equations ◽  
Wave Equations ◽  
Massless Particle ◽  
Space Time ◽  
Dispersion Relations ◽  
Classical Electrodynamics ◽  
Gauge Transformations ◽  
Boson Model ◽  
A Charge

The classical electrodynamics for X-boson model is studied to understand it propagation in the space–time. The Maxwell equations of model and the correspondents wave equations are obtained. It indicate the dispersion relations of a massive and massless particle, that we interpret as photon and the X-boson. Thereby, a full diagonalization of the model is introduced to get a Maxwell sector summed up to Proca sector. Posteriorly, the X-fields and X-potentials of a relativistically moving charge is obtained in terms of a time-proper integral, and as an example, we calculate the fields and potentials for a charge in uniform moving. Finally, the gauge symmetry and gauge transformations were discussed.

Higher spin theories in flat space–time

2018 ◽  
Vol 33 (34) ◽  
pp. 1845007
Author(s):  
Loriano Bonora
Keyword(s):  
Equations Of Motion ◽  
Flat Space ◽  
Space Time ◽  
Local Fields ◽  
Field Theories ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Higher Spin ◽  
Chern Simons

It is shown that, contrary to a widespread prejudice, massless higher spin (HS) field theories can be defined in flat space–time. Examples of Yang–Mills-like theories with infinite many local fields of any spin are constructed explicitly in any dimension, along with Chern–Simons-like models in any odd dimension. These theories are defined via actions invariant under HS gauge transformations and their equations of motion are derived. It is also briefly explained why these theories circumvent well-known no-go theorems.

scholarly journals BRST FORMALISM FOR SYSTEMS WITH HIGHER ORDER DERIVATIVES OF GAUGE PARAMETERS

1996 ◽  
Vol 11 (29) ◽  
pp. 5279-5302 ◽  
Author(s):  
KH. S. NIROV
Keyword(s):  
Wide Class ◽  
Mechanical Systems ◽  
Higher Order ◽  
Lagrangian Approach ◽  
Gauge Transformations ◽  
Gauge Fixing ◽  
Derivatives Of ◽  
Explicit Relation

For a wide class of mechanical systems, invariant under gauge transformations with arbitrary higher order time derivatives of gauge parameters, the equivalence of Lagrangian and Hamiltonian BRST formalisms is proved. It is shown that the Ostrogradsky formalism establishes the natural rules to relate the BFV ghost canonical pairs with the ghosts and antighosts introduced by the Lagrangian approach. Explicit relation between corresponding gauge-fixing terms is obtained.

scholarly journals SYMMETRIES OF p-BRANES

1993 ◽  
Vol 08 (30) ◽  
pp. 5367-5381 ◽  
Author(s):  
R. PERCACCI ◽  
E. SEZGIN
Keyword(s):  
Global Symmetries ◽  
Sigma Model ◽  
Space Time ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Invariance Properties ◽  
Group Manifold ◽  
Mills Field

Using canonical methods, we study the invariance properties of a bosonic p-brane propagating in a curved background locally diffeomorphic to M×G, where M is space-time and G a group manifold. The action is that of a gauged sigma model in p+1 dimensions coupled to a Yang-Mills field and a (p+1) form in M. We construct the generators of Yang-Mills and tensor gauge transformations and exhibit the role of the (p+1) form in canceling the potential Schwinger terms. We also discuss the Noether currents associated with the global symmetries of the action and the question of the existence of infinite-dimensional symmetry algebras, analogous to the Kac-Moody symmetry of the string.

Standard covariant formulation for perfect-fluid dynamics

1988 ◽  
Vol 186 ◽  
pp. 1-24 ◽  
Author(s):  
B. Carter ◽  
B. Gaffet
Keyword(s):  
Perfect Fluid ◽  
Chemical Constituents ◽  
Standard Form ◽  
Space Time ◽  
Variation Principle ◽  
Covariant Formulation ◽  
Invariance Group ◽  
Dynamical Equations ◽  
General Relativistic ◽  
Derivatives Of

After a brief description of the Milne generalization of the Galilean invariance group for the space–time of Newtonian kinematics, it is shown how the generalized Eulerian dynamical equations for the motion of a multiconstituent perfect (nonconducting) fluid can be expressed in terms of interior products of current 4-vectors with exterior derivatives of the appropriate 4-momentum 1-forms (whose role is central in this approach) in a fully covariant standard form whose structure is identical in the Newtonian case to that of the corresponding equation for the case of (special or general) relativistic perfect fluid mechanics. In addition to space–time covariance, this standard form exhibits chemical covariance in the sense that it is manifestly invariant under redefinition of the number densities of the independent conserved chemical constituents in terms of linear combinations of each other. It is shown how, in the strictly conservative case when no chemical reactions occur, this standard form, can be used (via the construction of suitably generalized Clebsch potentials) for setting up an Eulerian (fixed-point) variation principle in a form that is simultaneously valid for both Newtonian and relativistic cases.

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