# Finite BRST transformation and constrained systems

## Abstract

We establish the connection between the generating functional for the first class theories and the generating functional for the second class theories using the finite field dependent BRST (FFBRST) transformation. We show this connection with the help of explicit calculations in two different models. The generating functional of the Proca model is obtained from the generating functional of the Stueckelberg theory for massive spin 1 vector field using FFBRST transformation. In the other example we relate the generating functionals for gauge invariant and gauge variant theories for a self-dual chiral boson. - Highlights: Black-Right-Pointing-Pointer Batalin-Fradkin-Tyutin (BFT) formulation converts second class theory to first class. Black-Right-Pointing-Pointer We develop a different formulation known as FFBRST/FF-anti-BRST formulations. Black-Right-Pointing-Pointer Such transformation is developed by making usual parameter finite and field dependent. Black-Right-Pointing-Pointer We relate first class theory to second class using FFBRST/FF-anti-BRST formulation.

- Authors:

- Publication Date:

- OSTI Identifier:
- 22157014

- Resource Type:
- Journal Article

- Journal Name:
- Annals of Physics (New York)

- Additional Journal Information:
- Journal Volume: 327; Journal Issue: 11; Other Information: Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOSONS; CHIRALITY; FUNCTIONALS; GAUGE INVARIANCE; QUANTUM FIELD THEORY; SPIN; TRANSFORMATIONS; VECTOR FIELDS

### Citation Formats

```
Upadhyay, Sudhaker, E-mail: sudhakerupadhyay@gmail.com, and Mandal, Bhabani Prasad, E-mail: bhabani.mandal@gmail.com.
```*Finite BRST transformation and constrained systems*. United States: N. p., 2012.
Web. doi:10.1016/J.AOP.2012.07.011.

```
Upadhyay, Sudhaker, E-mail: sudhakerupadhyay@gmail.com, & Mandal, Bhabani Prasad, E-mail: bhabani.mandal@gmail.com.
```*Finite BRST transformation and constrained systems*. United States. doi:10.1016/J.AOP.2012.07.011.

```
Upadhyay, Sudhaker, E-mail: sudhakerupadhyay@gmail.com, and Mandal, Bhabani Prasad, E-mail: bhabani.mandal@gmail.com. Thu .
"Finite BRST transformation and constrained systems". United States. doi:10.1016/J.AOP.2012.07.011.
```

```
@article{osti_22157014,
```

title = {Finite BRST transformation and constrained systems},

author = {Upadhyay, Sudhaker, E-mail: sudhakerupadhyay@gmail.com and Mandal, Bhabani Prasad, E-mail: bhabani.mandal@gmail.com},

abstractNote = {We establish the connection between the generating functional for the first class theories and the generating functional for the second class theories using the finite field dependent BRST (FFBRST) transformation. We show this connection with the help of explicit calculations in two different models. The generating functional of the Proca model is obtained from the generating functional of the Stueckelberg theory for massive spin 1 vector field using FFBRST transformation. In the other example we relate the generating functionals for gauge invariant and gauge variant theories for a self-dual chiral boson. - Highlights: Black-Right-Pointing-Pointer Batalin-Fradkin-Tyutin (BFT) formulation converts second class theory to first class. Black-Right-Pointing-Pointer We develop a different formulation known as FFBRST/FF-anti-BRST formulations. Black-Right-Pointing-Pointer Such transformation is developed by making usual parameter finite and field dependent. Black-Right-Pointing-Pointer We relate first class theory to second class using FFBRST/FF-anti-BRST formulation.},

doi = {10.1016/J.AOP.2012.07.011},

journal = {Annals of Physics (New York)},

issn = {0003-4916},

number = 11,

volume = 327,

place = {United States},

year = {2012},

month = {11}

}