D3/D7 holographic gauge theory and chemical potential

Journal Article · Sat Dec 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.124006· OSTI ID:21024031

Ghoroku, Kazuo ^[1]; Ishihara, Masafumi ^[2]; Nakamura, Akihiro ^[3]

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1. Fukuoka Institute of Technology, Wajiro, Higashi-ku Fukuoka 811-0295 (Japan)
2. Department of Physics, Kyushu University, Hakozaki, Higashi-ku Fukuoka 812-8581 (Japan)
3. Department of Physics, Kagoshima University, Korimoto 1-21-35, Kagoshima 890-0065 (Japan)

N=2 supersymmetric Yang-Mills theory with flavor hypermultiplets at finite temperature and in the dS{sub 4} space is studied for finite quark number density (n{sub b}) by a dual supergravity background with nontrivial dilaton and axion. The quarks and their number density n{sub b} are introduced by embedding a probe D7 brane. We find a critical value of the chemical potential at the limit of n{sub b}=0, and it coincides with the effective quark mass given in each theory for n{sub b}=0. At this point, a transition of the D7 embedding configurations occurs between their two typical ones. The phase diagrams of this transition are shown in the plane of chemical potential versus temperature and cosmological constant for Yang-Mills theory at finite temperature and in dS{sub 4}, respectively. In this phase transition, the order parameter is considered as n{sub b}. This result seems to be reasonable since both theories are in the quark deconfinement phase.

• OSTI ID: 21024031
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIONS
COSMOLOGICAL CONSTANT
FLAVOR MODEL
GAUGE INVARIANCE
HOLOGRAPHY
ORDER PARAMETERS
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
POTENTIALS
QUANTUM FIELD THEORY
QUARKS
SPACE
SUPERGRAVITY
SUPERSYMMETRY
YANG-MILLS THEORY