# Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory

## Abstract

The renormalization functions involved in the determination of the topological susceptibility in the SU(2) lattice gauge theory are extracted by direct measurements, without relying on perturbation theory. The determination exploits the phenomenon of critical slowing down to allow the separation of perturbative and nonperturbative effects. The results are in good agreement with perturbative computations.

- Authors:

- (Departamento de Fisica Teorica y del Cosmos, Universidad de Granada (Spain) Dipartimento di Fisica dell'Universita and Instituto Nazionale di Fisica Nucleare, Pisa (Italy) Physics Department, Hacettepe University, Beytepe Ankara (Turkey))

- Publication Date:

- OSTI Identifier:
- 6244743

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D (Particles Fields); (United States)

- Additional Journal Information:
- Journal Volume: 48:5; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; RENORMALIZATION; YANG-MILLS THEORY; SU-2 GROUPS; EXPECTATION VALUE; GROUND STATES; PERTURBATION THEORY; SYMMETRY BREAKING; VACUUM STATES; ENERGY LEVELS; FIELD THEORIES; LIE GROUPS; QUANTUM FIELD THEORY; SU GROUPS; SYMMETRY GROUPS; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-); 662230 - Quantum Chromodynamics- (1992-)

### Citation Formats

```
Alles, B., Campostrini, M., Di Giacomo, A., Guenduec, Y., and Vicari, E.
```*Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory*. United States: N. p., 1993.
Web. doi:10.1103/PhysRevD.48.2284.

```
Alles, B., Campostrini, M., Di Giacomo, A., Guenduec, Y., & Vicari, E.
```*Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory*. United States. doi:10.1103/PhysRevD.48.2284.

```
Alles, B., Campostrini, M., Di Giacomo, A., Guenduec, Y., and Vicari, E. Wed .
"Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory". United States. doi:10.1103/PhysRevD.48.2284.
```

```
@article{osti_6244743,
```

title = {Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory},

author = {Alles, B. and Campostrini, M. and Di Giacomo, A. and Guenduec, Y. and Vicari, E.},

abstractNote = {The renormalization functions involved in the determination of the topological susceptibility in the SU(2) lattice gauge theory are extracted by direct measurements, without relying on perturbation theory. The determination exploits the phenomenon of critical slowing down to allow the separation of perturbative and nonperturbative effects. The results are in good agreement with perturbative computations.},

doi = {10.1103/PhysRevD.48.2284},

journal = {Physical Review, D (Particles Fields); (United States)},

issn = {0556-2821},

number = ,

volume = 48:5,

place = {United States},

year = {1993},

month = {9}

}

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