Proper-time formalism in a constant magnetic field at finite temperature and chemical potential
International Journal of Modern Physics A Volume 20 Issue 20-21
Page 4995-5007
published_at 2005-08
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| File | |
| Title ( eng ) |
Proper-time formalism in a constant magnetic field at finite temperature and chemical potential
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| Creator |
Kimura Daiji
Murata Tsukasa
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| Source Title |
International Journal of Modern Physics A
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| Volume | 20 |
| Issue | 20-21 |
| Start Page | 4995 |
| End Page | 5007 |
| Abstract |
We investigate scalar and spinor field theories in a constant magnetic field at finite temperature and chemical potential. In an external constant magnetic field the exact solution of the two-point Green functions are obtained by using the Fock-Schwinger proper-time formalism. We extend it to the thermal field theory and find the expressions of the Green functions exactly for the temperature, the chemical potential and the magnetic field. For practical calculations the contour of the proper-time integral is carefully selected. The physical contour is discussed in a constant magnetic field at finite temperature and chemical potential. As an example, behavior of the vacuum self-energy is numerically evaluated for the free scalar and spinor fields.
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| NDC |
Physics [ 420 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
World Scientific Publishing Company
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| Date of Issued | 2005-08 |
| Rights |
Electronic version of an article published as International Journal of Modern Physics A Vol.20 No.20-21 pp.4995-5007 DOI:10.1142/S0217751X05025073 Copyright (c) 2005 World Scientific Publishing Company http://www.worldscientific.com/
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| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[NCID] AA10669072
[ISSN] 0217-751X
[DOI] 10.1142/S0217751X05025073
[DOI] http://dx.doi.org10.1142/S0217751X05025073
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