# Quantum fields with classical perturbations

## Abstract

The main purpose of these notes is a review of various models of Quantum Field Theory (QFT) involving quadratic Lagrangians. We discuss scalar and vector bosons, spin 1/2 fermions, both neutral and charged. Beside free theories, we study their interactions with classical perturbations, called, depending on the context, an external linear source, mass-like term, current or electromagnetic potential. The notes may serve as a first introduction to QFT.

- Authors:

- Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Hoza 74, 00-682 Warszawa (Poland)

- Publication Date:

- OSTI Identifier:
- 22306190

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 7; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSONS; FERMIONS; LAGRANGIAN FUNCTION; PERTURBATION THEORY; QUANTUM FIELD THEORY; SPIN

### Citation Formats

```
Dereziński, Jan, E-mail: Jan.Derezinski@fuw.edu.pl.
```*Quantum fields with classical perturbations*. United States: N. p., 2014.
Web. doi:10.1063/1.4878920.

```
Dereziński, Jan, E-mail: Jan.Derezinski@fuw.edu.pl.
```*Quantum fields with classical perturbations*. United States. doi:10.1063/1.4878920.

```
Dereziński, Jan, E-mail: Jan.Derezinski@fuw.edu.pl. Tue .
"Quantum fields with classical perturbations". United States. doi:10.1063/1.4878920.
```

```
@article{osti_22306190,
```

title = {Quantum fields with classical perturbations},

author = {Dereziński, Jan, E-mail: Jan.Derezinski@fuw.edu.pl},

abstractNote = {The main purpose of these notes is a review of various models of Quantum Field Theory (QFT) involving quadratic Lagrangians. We discuss scalar and vector bosons, spin 1/2 fermions, both neutral and charged. Beside free theories, we study their interactions with classical perturbations, called, depending on the context, an external linear source, mass-like term, current or electromagnetic potential. The notes may serve as a first introduction to QFT.},

doi = {10.1063/1.4878920},

journal = {Journal of Mathematical Physics},

number = 7,

volume = 55,

place = {United States},

year = {Tue Jul 15 00:00:00 EDT 2014},

month = {Tue Jul 15 00:00:00 EDT 2014}

}

DOI: 10.1063/1.4878920

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