Vacuum structure, zero modes, and the effective potential in light-cone quantization

M. E. Convery; C. C. Taylor; Jin Woo Jun

doi:10.1103/PhysRevD.51.4445

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Vacuum structure, zero modes, and the effective potential in light-cone quantization

M. E. Convery and C. C. Taylor

Jin Woo Jun

Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106

Department of Physics, Inje University, Kimhae, Kyungnahm 621-749, Republic of Korea

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Phys. Rev. D 51, 4445 – Published 15 April, 1995

DOI: https://doi.org/10.1103/PhysRevD.51.4445

Abstract

A Hamiltonian formalism for the calculation of the usual effective potential is presented in the context of scalar field theory. When applied in the context of light-cone quantization, we find contributions at $k^{+}$ =0 which are missed by standard light-cone infrared regularizations. We present a (time-dependent) regularization of the Hamiltonian which correctly incorporates these contributions at the one-loop level. We briefly discuss the implications of these findings for the more general program of diagonalizing the light-cone Hamiltonian.

References (20)

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T. Eller, H. C. Pauli and S. J. Brodsky, Phys. Rev. D 35, 1493 (1987).
K. Hornbostel, H. C. Pauli and S. J. Brodsky, Phys. Rev. D 41, 3814 (1990).
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[c1] H. C. Pauli and S. J. Brodsky, Phys. Rev. D 32, 1993 (1985); ibid. 32, 2001 (1985).

[c2] T. Eller, H. C. Pauli and S. J. Brodsky, Phys. Rev. D 35, 1493 (1987).

[c3] K. Hornbostel, H. C. Pauli and S. J. Brodsky, Phys. Rev. D 41, 3814 (1990).

[c4] R. J. Perry, A. Harindranath and K. G. Wilson, Phys. Rev. Lett. 65, 2959 (1990).

[c5] R. J. Perry and A. Harindranath, Phys. Rev. D 43, 492 (1991); ibid. 43, 4051 (1991).

[c6] G. McCartor, Z. Phys. C 52, 611 (1991).

[c7] Th. Heinzl, St. Krusche and E. Werner, Phys. Lett. B 256, 55 (1991).

[c8] Th. Heinzl, St. Krusche and E. Werner, Phys. Lett. B 275, 410 (1992).

[c9] Th. Heinzl, St. Krusche and E. Werner, Phys. Lett. B 272, 454 (1991).

[c10] D. G. Robertson, Phys. Rev. D 47, 2549 (1993).

[c11] S. J. Brodsky et al., Particle World 3, 109 (1993).

[c12] S. J. Brodsky and H. C. Pauli, in Recent Aspects of Quantum Fields, Proceedings of the 30th Schladming Winter School, Schladming, Austria, 1991, edited by H. Mitter and H. Gausterer, Lecture Notes in Physics Vol. 393 (Springer, Berlin, 1991), p. 51.

[c13] P. A. Griffin, Phys. Rev. D 46, 3538 (1992).

[c14] C. J. Benesh and J. P. Vary, Z. Phys. C 49, 411 (1991).

[c15] A. Harindranath and J. P. Vary, Phys. Rev. D 37, 3010 (1988).

[c16] T. Heinzl, et al., Z. Phys. C 56, 415 (1992).

[c17] S. Pinsky and B. van de Sande, Phys. Rev. D 49, 2001 (1994).

[c18] T. Maskawa and K. Yamawaki, Prog. Theor. Phys. 56, 270 (1976).

[c19] K. G. Wilson, T. Walhout, A. Harindranath, W. M. Zhang, R. J. Perry and S. Glazek, Phys. Rev. D 49, 6720 (1994).

[c20] R. J. Perry, Ann. Phys. (N.Y.) 232, 116 (1994).

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Vacuum structure, zero modes, and the effective potential in light-cone quantization

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