scholarly journals BRST APPROACH TO LAGRANGIAN FORMULATION OF BOSONIC TOTALLY ANTISYMMETRIC TENSOR FIELDS IN CURVED SPACE

2009 ◽  
Vol 24 (06) ◽  
pp. 401-414 ◽  
Author(s):  
I. L. BUCHBINDER ◽  
V. A. KRYKHTIN ◽  
L. L. RYSKINA
Keyword(s):  
Gauge Symmetry ◽  
Lagrangian Formulation ◽  
Field Theories ◽  
Tensor Fields ◽  
Gauge Invariant ◽  
Curved Space ◽  
Spin Field ◽  
Gauge Models ◽  
Higher Spin ◽  
Lagrangian Construction

We apply the BRST approach, previously developed for higher spin field theories, to gauge-invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in arbitrary d-dimensional curved space. The obtained theories are reducible gauge models both in massless and massive cases and the order of reducibility grows with the value of the rank of the antisymmetric field. In both cases the Lagrangians contain the sets of auxiliary fields and possess more rich gauge symmetry in comparison with standard Lagrangian formulation for the antisymmetric fields. This serves as an additional demonstration of universality of the BRST approach for Lagrangian constructions in various field models.

UNCONSTRAINED HIGHER SPINS IN FOUR DIMENSIONS

2011 ◽  
Vol 08 (03) ◽  
pp. 511-556 ◽  
Author(s):  
GIUSEPPE BANDELLONI
Keyword(s):  
Equations Of Motion ◽  
Symmetric Tensor ◽  
Tensor Fields ◽  
Geometrical Meaning ◽  
Four Dimensions ◽  
Spin Field ◽  
Angular Momenta ◽  
Higher Spin ◽  
Spin Fields ◽  
The Right

The relativistic symmetric tensor fields are, in four dimensions, the right candidates to describe Higher Spin Fields. Their highest spin content is isolated with the aid of covariant conditions, discussed within a group theory framework, in which auxiliary fields remove the lower intrinsic angular momenta sectors. These conditions are embedded within a Lagrangian Quantum Field theory which describes an Higher Spin Field interacting with a Classical background. The model is invariant under a (B.R.S.) symmetric unconstrained tensor extension of the reparametrization symmetry, which include the Fang–Fronsdal algebra in a well defined limit. However, the symmetry setting reveals that the compensator field, which restore the Fang–Fronsdal symmetry of the free equations of motion, is in the existing in the framework and has a relevant geometrical meaning. The Ward identities coming from this symmetry are discussed. Our constraints give the result that the space of the invariant observables is restricted to the ones constructed with the Highest Spin Field content. The quantum extension of the symmetry reveals that no new anomaly is present. The role of the compensator field in this result is fundamental.

scholarly journals Gauge invariant Lagrangian formulation of massive higher spin fields in (A)dS3 space

2012 ◽  
Vol 716 (1) ◽  
pp. 243-248 ◽  
Author(s):  
I.L. Buchbinder ◽  
T.V. Snegirev ◽  
Yu.M. Zinoviev
Keyword(s):  
Lagrangian Formulation ◽  
Gauge Invariant ◽  
Higher Spin ◽  
Spin Fields ◽  
Higher Spin Fields

scholarly journals Gauge invariant Lagrangian construction for massive higher spin fermionic fields

2006 ◽  
Vol 641 (5) ◽  
pp. 386-392 ◽  
Author(s):  
I.L. Buchbinder ◽  
V.A. Krykhtin ◽  
L.L. Ryskina ◽  
H. Takata
Keyword(s):  
Gauge Invariant ◽  
Higher Spin ◽  
Fermionic Fields ◽  
Lagrangian Construction

On-shell gauge invariant three-point fermion and boson amplitudes

2020 ◽  
Vol 35 (18) ◽  
pp. 2050085
Author(s):  
Hui Xu
Keyword(s):  
First Principles ◽  
Dimensional Space ◽  
Space Time ◽  
Polynomial Basis ◽  
Gauge Invariant ◽  
Higher Spin ◽  
Dimensional Space Time ◽  
Lagrangian Construction ◽  
Massless Fermions

A polynomial basis for parity-even three-point amplitudes of higher-spin massless fermions and bosons are derived in four-dimensional space–time from first principles. This basis can be used to construct three-point amplitudes of polarizations of any rank. The results are presented using polarization tensors and tensor-spinors, which is convenient when they are applied to Lagrangian construction.

SPIN-1/2 GAUGE FIELD REVISITED

1993 ◽  
Vol 08 (28) ◽  
pp. 2643-2648
Author(s):  
KAZUNARI SHIMA
Keyword(s):  
Gauge Symmetry ◽  
Gauge Field ◽  
Lagrange Multiplier ◽  
Space Time ◽  
Antisymmetric Tensor ◽  
Gauge Invariant ◽  
Rank Tensor ◽  
Higher Spin

The gauge symmetry for spin-1/2 field proposed in the previous paper by using second rank tensor-spinors is re-investigated. The constraints which are essential for eliminating higher spin components are re-examined and reformulated by using a traceless antisymmetric tensor-spinor Lagrange multiplier in a gauge-invariant way. The gauge symmetry is compatible with the space-time with (anti)self-dual Riemann curvatures.

scholarly journals BRST LAGRANGIAN CONSTRUCTION FOR SPIN-$\frac{3}{2}$ FIELD IN EINSTEIN SPACE

2010 ◽  
Vol 25 (20) ◽  
pp. 1667-1677 ◽  
Author(s):  
I. L. BUCHBINDER ◽  
V. A. KRYKHTIN
Keyword(s):  
Field Theory ◽  
Einstein Space ◽  
Spin Field ◽  
Text Field ◽  
Massive Spin ◽  
Higher Spin ◽  
Lagrangian Construction

We explore a hidden possibility of BRST approach to higher spin field theory to obtain a consistent Lagrangian for massive spin-[Formula: see text] field in Einstein space of arbitrary d ≥ 3 dimension. Also, we prove that in the space under consideration the propagation of spin-[Formula: see text] field is hyperbolic and causal.

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