# Quantum action method in quantum field theory

## Abstract

A new formalism in quantum field theory in which the basic quantity is the quantum action is worked out. Such quantum action is a generating functional of one particle irreducible vertices, and it is a straightforward generalization of the conventional classical action to a quantum field theoretical setting in such a way to preserve classical symmetries. Nonlinear field equations are built from such a quantum action. The formalism is applied to the symmetric Yang-Mills theory with spontaneous symmetry breaking and it is shown to lead to Ward identies without nonphysical quantities. A number of additional aspects are then considered, such as the construction of the S-matrix and the study of its invariance, certain perturbative calculations in the quantum electodynamics, and the computation of the finite solution of the electron vertex part from the Ward identities.

- Authors:

- Publication Date:

- OSTI Identifier:
- 6521843

- Alternate Identifier(s):
- OSTI ID: 6521843

- Resource Type:
- Journal Article

- Journal Name:
- Hadronic J.; (United States)

- Additional Journal Information:
- Journal Volume: 2:1

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; VERTEX FUNCTIONS; FUNCTIONALS; INVARIANCE PRINCIPLES; NONLINEAR PROBLEMS; PERTURBATION THEORY; QUANTUM ELECTRODYNAMICS; S MATRIX; SYMMETRY; WARD IDENTITY; YANG-MILLS THEORY; ELECTRODYNAMICS; FIELD THEORIES; FUNCTIONS; MATRICES 645400* -- High Energy Physics-- Field Theory

### Citation Formats

```
Golfand, Y.A.
```*Quantum action method in quantum field theory*. United States: N. p., 1979.
Web.

```
Golfand, Y.A.
```*Quantum action method in quantum field theory*. United States.

```
Golfand, Y.A. Thu .
"Quantum action method in quantum field theory". United States.
```

```
@article{osti_6521843,
```

title = {Quantum action method in quantum field theory},

author = {Golfand, Y.A.},

abstractNote = {A new formalism in quantum field theory in which the basic quantity is the quantum action is worked out. Such quantum action is a generating functional of one particle irreducible vertices, and it is a straightforward generalization of the conventional classical action to a quantum field theoretical setting in such a way to preserve classical symmetries. Nonlinear field equations are built from such a quantum action. The formalism is applied to the symmetric Yang-Mills theory with spontaneous symmetry breaking and it is shown to lead to Ward identies without nonphysical quantities. A number of additional aspects are then considered, such as the construction of the S-matrix and the study of its invariance, certain perturbative calculations in the quantum electodynamics, and the computation of the finite solution of the electron vertex part from the Ward identities.},

doi = {},

journal = {Hadronic J.; (United States)},

number = ,

volume = 2:1,

place = {United States},

year = {1979},

month = {2}

}