Journal Article

FZJ-2015-04102

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Existence and stability of multiple solutions to the gap equation

Wang, K.-l. ; Qin, S.-x. ; Liu, Y.-x. (Corresponding Author) ; Chang, L. ; Roberts, C. D. ; Schmidt, S. M.FZJ*VS-I*

2012
Soc. [S.l.]

This record in other databases:    

Please use a persistent id in citations: http://hdl.handle.net/2128/8865  doi:10.1103/PhysRevD.86.114001

Abstract: We argue by way of examples that, as a nonlinear integral equation, the gap equation can and does possess many physically distinct solutions for the dressed-quark propagator. The examples are drawn from a class that is successful in describing a broad range of hadron physics observables. We apply the homotopy continuation method to each of our four exemplars and thereby find all solutions that exist within the interesting domains of light current-quark masses and interaction strengths; and simultaneously provide an explanation of the nature and number of the solutions, many of which may be associated with dynamical chiral symmetry breaking. Introducing a stability criterion based on the scalar and pseudoscalar susceptibilities we demonstrate, however, that for any nonzero current-quark mass only the regular Nambu solution of the gap equation is stable against perturbations. This guarantees that the existence of multiple solutions to the gap equation cannot complicate the description of phenomena in hadron physics.

---

Contributing Institute(s):

1. Theorie der starken Wechselwirkung (IKP-3)
2. Wissenschaftlicher Geschäftsbereich I (VS-I)
3. Theorie der Starken Wechselwirkung (IAS-4)

Research Program(s):

1. 531 - Hadron Structure and Dynamics (HSD) (POF2-531) (POF2-531)
2. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

---

Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

---