# PARITY ODD BUBBLES IN HOT QCD.

## Abstract

We consider the topological susceptibility for an SU(N) gauge theory in the limit of a large number of colors, N {r_arrow} {infinity}. At nonzero temperature, the behavior of the topological susceptibility depends upon the order of the deconfining phase transition. The most interesting possibility is if the deconfining transition, at T = T{sub d}, is of second order. Then we argue that Witten's relation implies that the topological susceptibility vanishes in a calculable fashion at Td. As noted by Witten, this implies that for sufficiently light quark masses, metastable states which act like regions of nonzero {theta}--parity odd bubbles--can arise at temperatures just below T{sub d}. Experimentally, parity odd bubbles have dramatic signatures: the {eta}{prime} meson, and especially the {eta} meson, become light, and are copiously produced. Further, in parity odd bubbles, processes which are normally forbidden, such as {eta} {r_arrow} {pi}{sup 0}{pi}{sup 0}, are allowed. The most direct way to detect parity violation is by measuring a parity odd global asymmetry for charged pions, which we define.

- Authors:

- Publication Date:

- Research Org.:
- Brookhaven National Lab., Upton, NY (US)

- Sponsoring Org.:
- RIKEN/BNL/DOE (US)

- OSTI Identifier:
- 782641

- Report Number(s):
- BNL-68354; KB0201

R&D Project: PO03; KB0201; TRN: US0103423

- DOE Contract Number:
- AC02-98CH10886

- Resource Type:
- Conference

- Resource Relation:
- Conference: CONFERENCE ON CONTINUOUS ADVANCES IN QCD 1998 WORKSHOP DEDICATED TO THE MEMORY OF V.N. GRIBOV, MINNEAPOLIS, MN (US), 04/16/1998--04/19/1998; Other Information: PBD: 16 Apr 1998

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMMETRY; BUBBLES; METASTABLE STATES; PARITY; QUANTUM CHROMODYNAMICS; QUARKS; PIONS NEUTRAL; ETA MESONS; P INVARIANCE

### Citation Formats

```
KHARZEEV,D., PISARSKI,R.D., and TYTGAT,M.H.G.
```*PARITY ODD BUBBLES IN HOT QCD.*. United States: N. p., 1998.
Web.

```
KHARZEEV,D., PISARSKI,R.D., & TYTGAT,M.H.G.
```*PARITY ODD BUBBLES IN HOT QCD.*. United States.

```
KHARZEEV,D., PISARSKI,R.D., and TYTGAT,M.H.G. Thu .
"PARITY ODD BUBBLES IN HOT QCD.". United States. https://www.osti.gov/servlets/purl/782641.
```

```
@article{osti_782641,
```

title = {PARITY ODD BUBBLES IN HOT QCD.},

author = {KHARZEEV,D. and PISARSKI,R.D. and TYTGAT,M.H.G.},

abstractNote = {We consider the topological susceptibility for an SU(N) gauge theory in the limit of a large number of colors, N {r_arrow} {infinity}. At nonzero temperature, the behavior of the topological susceptibility depends upon the order of the deconfining phase transition. The most interesting possibility is if the deconfining transition, at T = T{sub d}, is of second order. Then we argue that Witten's relation implies that the topological susceptibility vanishes in a calculable fashion at Td. As noted by Witten, this implies that for sufficiently light quark masses, metastable states which act like regions of nonzero {theta}--parity odd bubbles--can arise at temperatures just below T{sub d}. Experimentally, parity odd bubbles have dramatic signatures: the {eta}{prime} meson, and especially the {eta} meson, become light, and are copiously produced. Further, in parity odd bubbles, processes which are normally forbidden, such as {eta} {r_arrow} {pi}{sup 0}{pi}{sup 0}, are allowed. The most direct way to detect parity violation is by measuring a parity odd global asymmetry for charged pions, which we define.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Thu Apr 16 00:00:00 EDT 1998},

month = {Thu Apr 16 00:00:00 EDT 1998}

}