Two-boson truncation of Pauli-Villars-regulated Yukawa theory
- Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94309 (United States)
- Department of Physics, University of Minnesota-Duluth, Duluth, MN 55812 (United States)
- Department of Physics, Southern Methodist University, Dallas, TX 75275 (United States)
We apply light-front quantization, Pauli-Villars regularization, and numerical techniques to the nonperturbative solution of the dressed-fermion problem in Yukawa theory in 3 + 1 dimensions. The solution is developed as a Fock-state expansion truncated to include at most one fermion and two bosons. The basis includes a negative-metric heavy boson and a negative-metric heavy fermion to provide the necessary cancellations of ultraviolet divergences. The integral equations for the Fock-state wave functions are solved by reducing them to effective one-boson-one-fermion equations for eigenstates with J {sub z} = 1/2. The equations are converted to a matrix equation with a specially tuned quadrature scheme, and the lowest mass state is obtained by diagonalization. Various properties of the dressed-fermion state are then computed from the nonperturbative light-front wave functions. This work is a major step in our development of Pauli-Villars regularization for the nonperturbative solution of four-dimensional field theories and represents a significant advance in the numerical accuracy of such solutions.
- OSTI ID:
- 20767017
- Journal Information:
- Annals of Physics (New York), Vol. 321, Issue 5; Other Information: DOI: 10.1016/j.aop.2005.09.005; PII: S0003-4916(05)00157-0; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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