Trace anomaly in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>λ</mi><mrow><msup><mrow><mi>φ</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span> theory near a fixed point

Satish D. Joglekar; Achla Mishra

doi:10.1103/PhysRevD.40.444

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Trace anomaly in $λ φ^{4}$ theory near a fixed point

Satish D. Joglekar and Achla Mishra

Department of Physics, Indian Institute of Technology, Kanpur, Kanpur 208016, India

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Phys. Rev. D 40, 444 – Published 15 July, 1989Erratum Phys. Rev. D 44, 1342 (1991)

DOI: https://doi.org/10.1103/PhysRevD.40.444

Abstract

We make a number of observations on the trace anomaly in $λ φ^{4}$ theory near a fixed point. We show that the trace anomaly for the unique finite energy-momentum tensor may not vanish but may in fact blow up near a fixed point. We make comments on the renormalization-group equation satisfied by Green's functions of $θ_{μ ν}$ .

Erratum

Erratum: Trace anomaly in $λ φ^{4}$ theory near a fixed point

Satish D. Joglekar and Achla Mishra

Phys. Rev. D 44, 1342 (1991)

References (14)

J. Lowenstein, Phys. Rev. D 4, 2281 (1971) E. C. Poggio, Ann. Phys. (N.Y.) 81, 481 (1973) K. Yamada, Phys. Rev. D 10, 599 (1974)
C. G. Callan, Jr., S. Coleman, and R. Jackiw, Ann. Phys.(N.Y.) 59, 42 (1970)
S. Coleman and R. Jackiw, Ann. Phys. (N.Y.) 67, 552 (1971)
D. Z. Freedman, I. J. Muzinich, and E. J. Weinberg, Ann. Phys. (N.Y.) 87, 95 (1974)
D. Z. Freedman and E. J. Weinberg, Ann. Phys. (N.Y.) 87, 354 (1974)
J. C. Collins, Phys. Rev. Lett. 36, 1518 (1976)
J. C. Collins, Phys. Rev. D 14, 1965 (1976)
L. S. Brown, Phys. Rev. D 14, 1469 (1977)
L. S. Brown, Ann. Phys. (N.Y.) 136, 135 (1980)
L. S. Brown and J. C. Collins, Ann. Phys. (N.Y.) 130, 215 (1980)
S. D. Joglekar and Anuradha Misra, Ann. Phys. (N.Y.) 185, 231 (1988)
B. Schroer, Lett. Nuovo Cimento 2, 867 (1971)
D. J. Gross, in Methods in Field Theory, proceedings of the Les Houches Summer School, Les Houches, France, 1975, edited by R. Balian and J. Zinn-Justin (Les Houches Summer School Proceedings, Vol. 28) (North-Holland, Amsterdam, 1976)
D. J. Amit, Field Theory: The Renormalization Group and Critical Phenomena, 2nd. ed. (World Scientific, Singapore, 1984), p. 133

[c1] J. Lowenstein, Phys. Rev. D 4, 2281 (1971) E. C. Poggio, Ann. Phys. (N.Y.) 81, 481 (1973) K. Yamada, Phys. Rev. D 10, 599 (1974)

[c2] C. G. Callan, Jr., S. Coleman, and R. Jackiw, Ann. Phys.(N.Y.) 59, 42 (1970)

[c3] S. Coleman and R. Jackiw, Ann. Phys. (N.Y.) 67, 552 (1971)

[c4] D. Z. Freedman, I. J. Muzinich, and E. J. Weinberg, Ann. Phys. (N.Y.) 87, 95 (1974)

[c5] D. Z. Freedman and E. J. Weinberg, Ann. Phys. (N.Y.) 87, 354 (1974)

[c6] J. C. Collins, Phys. Rev. Lett. 36, 1518 (1976)

[c7] J. C. Collins, Phys. Rev. D 14, 1965 (1976)

[c8] L. S. Brown, Phys. Rev. D 14, 1469 (1977)

[c9] L. S. Brown, Ann. Phys. (N.Y.) 136, 135 (1980)

[c10] L. S. Brown and J. C. Collins, Ann. Phys. (N.Y.) 130, 215 (1980)

[c11] S. D. Joglekar and Anuradha Misra, Ann. Phys. (N.Y.) 185, 231 (1988)

[c12] B. Schroer, Lett. Nuovo Cimento 2, 867 (1971)

[c13] D. J. Gross, in Methods in Field Theory, proceedings of the Les Houches Summer School, Les Houches, France, 1975, edited by R. Balian and J. Zinn-Justin (Les Houches Summer School Proceedings, Vol. 28) (North-Holland, Amsterdam, 1976)

[c14] D. J. Amit, Field Theory: The Renormalization Group and Critical Phenomena, 2nd. ed. (World Scientific, Singapore, 1984), p. 133

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Trace anomaly in $λ φ^{4}$ theory near a fixed point

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Erratum: Trace anomaly in $λ φ^{4}$ theory near a fixed point

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Trace anomaly in λφ4 theory near a fixed point

Abstract

Erratum

Erratum: Trace anomaly in λφ4 theory near a fixed point

References (14)

Trace anomaly in $λ φ^{4}$ theory near a fixed point

Erratum: Trace anomaly in $λ φ^{4}$ theory near a fixed point