One-loop corrections to solitons in two-dimensional theories

Ming Li; Robert J. Perry; Lawrence Wilets

doi:10.1103/PhysRevD.36.596

Access by Xinjiang University

One-loop corrections to solitons in two-dimensional theories

Ming Li, Robert J. Perry, and Lawrence Wilets

Institute for Nuclear Theory, Department of Physics, FM-15, University of Washington, Seattle, Washington 98195

PDF

Phys. Rev. D 36, 596 – Published 15 July, 1987

DOI: https://doi.org/10.1103/PhysRevD.36.596

Abstract

We have investigated quantum corrections to topological and nontopological solitons in several two-dimensional theories at the one-loop level utilizing a numerical Green’s-function method. For the $φ^{4}$ kink and sine-Gordon soliton, as well as the kink coupled to fermions, we reproduce the masses of static solitons obtained analytically in the cases for which analytic results exist. The advantage of the Green’s-function method is that it is suited to dealing with a wide range of theories and with most background-field configurations. This becomes apparent from our study of theories where tractable analytic methods of calculating quantum corrections at the one-loop level do not exist. We have used the method to investigate in detail the derivative and inverse-mass expansions of the one-loop, nonlocal actions of bosons and fermions for some typical nontopological background fields.

References (11)

For a review, see R. Rajaraman, Solitons and Instantons (North-Holland, Amsterdam, 1982); S. Coleman, in The Whys of Subnuclear Physics, proceedings of the International School of Subnuclear Physics, Erice, 1977, edited by A. Zichichi (Plenum, New York, 1979); R. Jackiw, Rev. Mod. Phys. 49, 681 (1977).
The exception is the work by S. Kahana and G. Ripka on a chiral-soliton model, Nucl. Phys. 429A, 462 (1984).
Ming Li, L. Wilets, and R. Perry, (in preparation); E. H. Wichmann and N. M. Kroll, Phys. Rev. 101, 843 (1956).
R. F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D 12, 4114 (1974); ibid. 12, 4130 (1974).
S. Coleman and E. Weinberg, Phys. Rev. D 7, 1888 (1973).
R. F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D 12, 4130 (1974); R. Rajaraman, Phys. Rep. 21C, 227 (1975).
Shau-Jin Chang and Tung-Mow Yan, Phys. Rev. D 12, 3225 (1975) D. K. Campbell and Yao-Tang Lian, ibid 14, 2093 (1976).
N. H. Christ and T. D. Lee, Phys. Rev. D 12, 1606 (1975).
R. Perry and Ming Li, Mod. Phys. Lett. A 2, 353 (1987).
C. M. Fraser, Z. Phys. C 28, 101 (1985); Lai-Him Chan, Phys. Rev. Lett. 54, 1222 (1985) ibid. 56, 404 (1986); O. Cheyette, ibid 55, 2394 (1985).
R. Perry, Nucl. Phys. A467, 717 (1987).

[c1] For a review, see R. Rajaraman, Solitons and Instantons (North-Holland, Amsterdam, 1982); S. Coleman, in The Whys of Subnuclear Physics, proceedings of the International School of Subnuclear Physics, Erice, 1977, edited by A. Zichichi (Plenum, New York, 1979); R. Jackiw, Rev. Mod. Phys. 49, 681 (1977).

[c2] The exception is the work by S. Kahana and G. Ripka on a chiral-soliton model, Nucl. Phys. 429A, 462 (1984).

[c3] Ming Li, L. Wilets, and R. Perry, (in preparation); E. H. Wichmann and N. M. Kroll, Phys. Rev. 101, 843 (1956).

[c4] R. F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D 12, 4114 (1974); ibid. 12, 4130 (1974).

[c5] S. Coleman and E. Weinberg, Phys. Rev. D 7, 1888 (1973).

[c6] R. F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D 12, 4130 (1974); R. Rajaraman, Phys. Rep. 21C, 227 (1975).

[c7] Shau-Jin Chang and Tung-Mow Yan, Phys. Rev. D 12, 3225 (1975) D. K. Campbell and Yao-Tang Lian, ibid 14, 2093 (1976).

[c8] N. H. Christ and T. D. Lee, Phys. Rev. D 12, 1606 (1975).

[c9] R. Perry and Ming Li, Mod. Phys. Lett. A 2, 353 (1987).

[c10] C. M. Fraser, Z. Phys. C 28, 101 (1985); Lai-Him Chan, Phys. Rev. Lett. 54, 1222 (1985) ibid. 56, 404 (1986); O. Cheyette, ibid 55, 2394 (1985).

[c11] R. Perry, Nucl. Phys. A467, 717 (1987).

Physical Review D

Export citation

Export citation

One-loop corrections to solitons in two-dimensional theories

Abstract

References (11)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation