메뉴 건너뛰기




Volumn 58, Issue 7, 1998, Pages

Optimized perturbation theory at finite temperature

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0009283868     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.58.076001     Document Type: Article
Times cited : (224)

References (104)
  • 1
    • 85038919265 scopus 로고    scopus 로고
    • Quark Matter ’96, Nucl. Phys. A610 (1996)
    • Quark Matter ’96, Nucl. Phys. A610 (1996)
  • 2
    • 85038886236 scopus 로고    scopus 로고
    • LATTICE ’96, Nucl. Phys. B (Proc. Suppl.) 53 (1997)
    • LATTICE ’96, Nucl. Phys. B (Proc. Suppl.) 53 (1997).
  • 7
    • 0003664044 scopus 로고
    • World Scientific, Singapore
    • K. Rajagopal, in Quark-Gluon Plasma 2, edited by R. Hwa (World Scientific, Singapore, 1995).
    • (1995) Quark-Gluon Plasma 2
    • Rajagopal, K.1
  • 19
    • 85038957303 scopus 로고    scopus 로고
    • K. Ogure and J. Sato, hep-ph/9802418 (1998) and references therein.
    • Ogure, K.1    Sato, J.2
  • 21
    • 36149006782 scopus 로고
    • For applications of the mean-field method to field theories, see, e.g., Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961)
    • (1961) Phys. Rev. , vol.122 , pp. 345
    • Nambu, Y.1    Jona-Lasinio, G.2
  • 23
    • 85038915363 scopus 로고    scopus 로고
    • Since the number of works related to OPT is enormous, we quote only two books which contain the original references: G. A. Arteca, F. M. Fernández, and E. A. Castro, Large Order Perturbation Theory and Summation Methods in Quantum Mechanics, (Springer-Verlag, Berlin, 1990)
    • Since the number of works related to OPT is enormous, we quote only two books which contain the original references: G. A. Arteca, F. M. Fernández, and E. A. Castro, Large Order Perturbation Theory and Summation Methods in Quantum Mechanics, (Springer-Verlag, Berlin, 1990)
  • 29
    • 0001645449 scopus 로고
    • [In the first reference, OPT at finite (Formula presented) was examined with (Formula presented) being a small perturbation, which is in contrast with our approach.] See also G. A. Hajj and P. M. Stevenson, Phys. Rev. D 37, 413 (1988).
    • (1988) Phys. Rev. D , vol.37 , pp. 413
    • Hajj, G.A.1    Stevenson, P.M.2
  • 35
  • 39
    • 85038954163 scopus 로고    scopus 로고
    • If we explicitly write (Formula presented) in Eq. (4), it appears as (Formula presented) Therefore, the loop expansion by (Formula presented) at finite (Formula presented) does not coincide with the (Formula presented) expansion. The expansion by (Formula presented) should be regarded as a steepest descent evaluation of the functional integral 17
    • If we explicitly write (Formula presented) in Eq. (4), it appears as (Formula presented) Therefore, the loop expansion by (Formula presented) at finite (Formula presented) does not coincide with the (Formula presented) expansion. The expansion by (Formula presented) should be regarded as a steepest descent evaluation of the functional integral 17.
  • 44
    • 0000884158 scopus 로고
    • Chiral Dynamics (Gordon and Breach, New York, 1972)
    • B. W. Lee, Nucl. Phys. B9, 649 (1969); NUPBBOChiral Dynamics (Gordon and Breach, New York, 1972).
    • (1969) Nucl. Phys. , vol.B9 , pp. 649
    • Lee, B.W.1
  • 46
    • 85038890308 scopus 로고    scopus 로고
    • This point was first recognized in 14
    • This point was first recognized in 14.
  • 47
    • 85038891405 scopus 로고    scopus 로고
    • At finite (Formula presented) or chemical potential, only the rotational symmetry in space is preserved in the rest frame of the heat bath or matter. Therefore, (Formula presented) in general
    • At finite (Formula presented) or chemical potential, only the rotational symmetry in space is preserved in the rest frame of the heat bath or matter. Therefore, (Formula presented) in general.
  • 50
    • 85038916768 scopus 로고    scopus 로고
    • Although (Formula presented) at high (Formula presented) coincides with the Debye screening mass for (Formula presented) they could be different in higher orders: Physical Debye mass is, in general, a function of (Formula presented)
    • Although (Formula presented) at high (Formula presented) coincides with the Debye screening mass for (Formula presented) they could be different in higher orders: Physical Debye mass is, in general, a function of (Formula presented)
  • 51
    • 85038904710 scopus 로고    scopus 로고
    • this case, (Formula presented) at the stationary point of the thermal effective potential
    • In this case, (Formula presented) at the stationary point of the thermal effective potential.
  • 53
    • 85038937016 scopus 로고    scopus 로고
    • See, e.g., C. Itzykson and J-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1985)
    • See, e.g., C. Itzykson and J-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1985)
  • 55
    • 0001660516 scopus 로고    scopus 로고
    • See the following papers and the references quoted therein for the breakdown of the NG theorem in self-consistent methods and for attempts to cure the problem: A. Okopińska, Phys. Lett. B 375, 213 (1996)
    • (1996) Phys. Lett. B , vol.375 , pp. 213
    • Okopińska, A.1
  • 60
    • 0001435921 scopus 로고
    • Another interesting issue is the spectral change of vector mesons: R. D. Pisarski, Phys. Lett. 110B, 155 (1982)
    • (1982) Phys. Lett. , vol.110B , pp. 155
    • Pisarski, R.D.1
  • 74
    • 0000132156 scopus 로고    scopus 로고
    • J. Randrup, Phys. Rev. D 55, 1188 (1997) and references therein.
    • (1997) Phys. Rev. D , vol.55 , pp. 1188
    • Randrup, J.1
  • 75
    • 85038957673 scopus 로고    scopus 로고
    • present paper, (Formula presented) and the sign of (Formula presented) are defined differently from those in 34. Also (Formula presented) in 34 should be considered as an unrenormalized parameter, while (Formula presented) in the present paper is a renormalized one
    • In the present paper, (Formula presented) and the sign of (Formula presented) are defined differently from those in 34. Also (Formula presented) in 34 should be considered as an unrenormalized parameter, while (Formula presented) in the present paper is a renormalized one.
  • 86
    • 0003984846 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, England
    • M. Le Bellac, Thermal Field Theory (Cambridge University Press, Cambridge, England, 1996).
    • (1996) Thermal Field Theory
    • Le Bellac, M.1
  • 91
    • 0003500871 scopus 로고
    • Addison-Wesley, New York
    • We have studied the free energy as a function of (Formula presented) near the chiral limit and found that it has a discontinuity at a certain temperature between (Formula presented) and (Formula presented) This is another sign that the first order nature is an artifact of the approximation. [Remember that the free energy must be a continuous function of (Formula presented) irrespective of the order of the phase transition: see, e.g., N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, New York, 1992).]
    • (1992) Lectures on Phase Transitions and the Renormalization Group
    • Goldenfeld, N.1
  • 98
    • 0542370287 scopus 로고    scopus 로고
    • A preliminary version of this study has been reported in S. Chiku, Prog. Theor. Phys. Suppl. 129, 91 (1998).
    • (1998) Prog. Theor. Phys. Suppl. , vol.129 , pp. 91
    • Chiku, S.1
  • 102
    • 0031231905 scopus 로고    scopus 로고
    • P. Rehberg, Yu. I. Kalinovskii, and D. Blaschke, Nucl. Phys. A622, 478 (1997). In this paper, the mode couplings are not taken into account.
    • (1997) Nucl. Phys. , vol.A622 , pp. 478
    • Rehberg, P.1    Blaschke, D.2
  • 104
    • 0000915753 scopus 로고    scopus 로고
    • See also T. Hatsuda, Phys. Rev. D 56, 8111 (1997) and references therein.
    • (1997) Phys. Rev. D , vol.56 , pp. 8111
    • Hatsuda, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.