Variational Calculation of the Bound-State Wave Function in: <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>λ</mi><mrow><msub><mrow><mo>(</mo><mrow><msup><mrow><mi>φ</mi></mrow><mrow><mn>6</mn></mrow></msup></mrow><mo>−</mo><mrow><msup><mrow><mi>φ</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msub></mrow></math></span>:

Jurij W. Darewych; Marko Horbatsch; Roman Koniuk

doi:10.1103/PhysRevLett.54.2188

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Variational Calculation of the Bound-State Wave Function in: $λ {(φ^{6} - φ^{4})}_{2}$ :

Jurij W. Darewych, Marko Horbatsch^*, and Roman Koniuk

Department of Physics, York University, Toronto, Ontario M3J 1P3, Canada

^*Permanent address: J. W. v. Goethe Universität, Frankfurt, Germany.

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Phys. Rev. Lett. 54, 2188 – Published 20 May, 1985

DOI: https://doi.org/10.1103/PhysRevLett.54.2188

Abstract

The Gaussian variational approximation is used to calculate the two-particle bound-state binding energy and wave function in the model: $λ (φ^{6} - φ^{4})$ : in 1 + 1 dimensions. An analytic result is compared to the perturbative calculation of Dimock and Eckmann and to the numerical, lattice work of Barnes and Daniell.

References (7)

J. Glimm, A. Jaffe, and T. Spencer, in Constructive Quantum Field Theory, edited by G. Velo and A. Wightman, Proceedings of the 1973 "Ettore Majorana" International School of Mathematical Physics (Springer-Verlag, Berlin, 1973), p. 165-177
J. Dimock and J. P. Eckmann, Commun. Math. Phys. 51, 41 (1976)
T. Barnes and G. J. Daniell, Phys. Lett. 142B, 188 (1984)
L. I. Schiff, Phys. Rev. 130, 458 (1963)
P. M. Stevenson, Phys. Rev. D 30, 1712 (1984) unpublished
T. Barnes and G. I. Ghandour, Phys. Rev. D 22, 924 (1980)
P. M. Stevenson (private communication)

[c1] J. Glimm, A. Jaffe, and T. Spencer, in Constructive Quantum Field Theory, edited by G. Velo and A. Wightman, Proceedings of the 1973 "Ettore Majorana" International School of Mathematical Physics (Springer-Verlag, Berlin, 1973), p. 165-177

[c2] J. Dimock and J. P. Eckmann, Commun. Math. Phys. 51, 41 (1976)

[c3] T. Barnes and G. J. Daniell, Phys. Lett. 142B, 188 (1984)

[c4] L. I. Schiff, Phys. Rev. 130, 458 (1963)

[c5] P. M. Stevenson, Phys. Rev. D 30, 1712 (1984) unpublished

[c6] T. Barnes and G. I. Ghandour, Phys. Rev. D 22, 924 (1980)

[c7] P. M. Stevenson (private communication)

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Variational Calculation of the Bound-State Wave Function in: $λ {(φ^{6} - φ^{4})}_{2}$ :

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Variational Calculation of the Bound-State Wave Function in: λ(φ6−φ4)2:

Abstract

References (7)

Variational Calculation of the Bound-State Wave Function in: $λ {(φ^{6} - φ^{4})}_{2}$ :