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Prog. Theor. Phys. Vol. 101 No. 3 (1999) pp. 721-747

[ Full Text PDF : FREE ACCESS (343K) ]

Bethe-Salpeter Approach for Mesons in the Pion Channel within the Dual Ginzburg-Landau Theory

Kensuke Kusaka1,*) Tsutomu Sakai2,**) and Hiroshi Toki1,2,***)

1 RIKEN, Wako 351-0198, Japan
2 RCNP, Osaka University, Ibaraki 567-0047, Japan

(Received November 12, 1998)

Abstract:

We develop a formalism for the study of mesons with the Bethe-Salpeter (BS) equation using the dual Ginzburg-Landau (DGL) theory. We introduce a new method to solve the BS equation by using the expansion method with momentum square at zero momentum. We apply this formalism to mesons in the pion channel with parity Π= - (-)J and charge conjugation C=-Π. Due to the confinement property of the gluon propagator in the DGL theory, we find the Regge behavior, M2 ∝J; that is, the mass square is proportional to the spin.


URL : http://ptp.ipap.jp/link?PTP/101/721/
DOI : 10.1143/PTP.101.721


*)E-mail: kkusaka@postman.riken.go.jp
**)E-mail: tsakai@rcnp.osaka-u.ac.jp
***)E-mail: toki@rcnp.osaka-u.ac.jp

[ Full Text PDF : FREE ACCESS (343K) ] Citation:

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