# Large N phase transitions in massive N = 2 gauge theories

## Abstract

Using exact results obtained from localization on S{sup 4}, we explore the large N limit of N = 2 super Yang-Mills theories with massive matter multiplets. In this talk we discuss two cases: N = 2* theory, describing a massive hypermultiplet in the adjoint representation, and super QCD with massive quarks. When the radius of the four-sphere is sent to infinity these theories are described by solvable matrix models, which exhibit a number of interesting phenomena including quantum phase transitions at finite 't Hooft coupling.

- Authors:

- Institució Catalana de Recerca i Estudis Avançats (ICREA), Pg. Lluis Companys, 23, 08010 Barcelona, Spain and Department ECM, Institut de Ciències del Cosmos, Universitat de Barcelona, Martí Franquès, 1, 08028 Barce (Spain)

- Publication Date:

- OSTI Identifier:
- 22306066

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1606; Journal Issue: 1; Conference: 2. Russian-Spanish congress on particle and nuclear physics at all scales, astroparticle physics and cosmology, St. Petersburg (Russian Federation), 1-4 Oct 2013; 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; COUPLING; GAUGE INVARIANCE; MATRICES; MATTER; MULTIPLETS; PHASE TRANSFORMATIONS; QUANTUM CHROMODYNAMICS; QUARKS; YANG-MILLS THEORY

### Citation Formats

```
Russo, J. G..
```*Large N phase transitions in massive N = 2 gauge theories*. United States: N. p., 2014.
Web. doi:10.1063/1.4891156.

```
Russo, J. G..
```*Large N phase transitions in massive N = 2 gauge theories*. United States. doi:10.1063/1.4891156.

```
Russo, J. G.. Wed .
"Large N phase transitions in massive N = 2 gauge theories". United States.
doi:10.1063/1.4891156.
```

```
@article{osti_22306066,
```

title = {Large N phase transitions in massive N = 2 gauge theories},

author = {Russo, J. G.},

abstractNote = {Using exact results obtained from localization on S{sup 4}, we explore the large N limit of N = 2 super Yang-Mills theories with massive matter multiplets. In this talk we discuss two cases: N = 2* theory, describing a massive hypermultiplet in the adjoint representation, and super QCD with massive quarks. When the radius of the four-sphere is sent to infinity these theories are described by solvable matrix models, which exhibit a number of interesting phenomena including quantum phase transitions at finite 't Hooft coupling.},

doi = {10.1063/1.4891156},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1606,

place = {United States},

year = {Wed Jul 23 00:00:00 EDT 2014},

month = {Wed Jul 23 00:00:00 EDT 2014}

}

DOI: 10.1063/1.4891156

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