Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/12741
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Type: | Journal article |
Title: | Chiral symmetry breaking in dimensionally regularized nonperturbative quenched QED |
Author: | Gusynin, V. Schreiber, A. Sizer, T. Williams, A. |
Citation: | Physical Review D: Particles, Fields, Gravitation and Cosmology, 1999; 60(6):065007- |
Publisher: | American Physical Society |
Issue Date: | 1999 |
ISSN: | 0556-2821 1550-2368 |
Statement of Responsibility: | Gusynin, V. Schreiber, A. ; Sizer, T. ; Williams, A. |
Abstract: | In this paper we study dynamical chiral symmetry breaking in dimensionally regularized quenched QED within the context of Dyson-Schwinger equations. In D<4 dimensions the theory has solutions which exhibit chiral symmetry breaking for all values of the coupling. To begin with, we study this phenomenon both numerically and, with some approximations, analytically within the rainbow approximation in the Landau gauge. In particular, we discuss how to extract the critical coupling αc=π/3 relevant in 4 dimensions from the D dimensional theory. We further present analytic results for the chirally symmetric solution obtained with the Curtis-Pennington vertex as well as numerical results for solutions exhibiting chiral symmetry breaking. For these we demonstrate that, using dimensional regularization, the extraction of the critical coupling relevant for this vertex is feasible. Initial results for this critical coupling are in agreement with cut-off based work within the currently achievable numerical precision. |
Rights: | ©1999 American Physical Society |
DOI: | 10.1103/PhysRevD.60.065007 |
Published version: | http://dx.doi.org/10.1103/physrevd.60.065007 |
Appears in Collections: | Aurora harvest 2 Physics publications |
Files in This Item:
File | Description | Size | Format | |
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hdl_12741.pdf | Published version | 147.42 kB | Adobe PDF | View/Open |
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