Chiral invariance in a bag theory

Journal Article · Sat Nov 01 04:00:00 EST 1975 · Phys. Rev., D, v. 12, no. 9, pp. 2733-2743

DOI:https://doi.org/10.1103/PhysRevD.12.2733· OSTI ID:4070466

Chodos, A; Thorn, C B

We study phenomena that involve surface fluctuations of a bag by introducing unconfined $pi$-vector and sigma fields which interact with the bag only at the surface. The resulting theory is chirally symmetric. We find exact classical solutions to the equations of motion, which have the ''hedgehog'' property that $pi$-vector(x) = g(r) r-circumflex. In addition, we study other classical solutions perturbatively, and estimate the values of the $delta$ width and of F/sub $pi$/ predicted by our model. There are no free parameters except the bag constant B, which sets the over-all scale. (AIP)

• Research Organization: Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-021437
• OSTI ID: 4070466
• Journal Information: Phys. Rev., D, v. 12, no. 9, pp. 2733-2743, Journal Name: Phys. Rev., D, v. 12, no. 9, pp. 2733-2743; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*BAG MODEL-- EQUATIONS OF MOTION
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CHIRAL SYMMETRY
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PIONS
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SCALAR FIELDS
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VECTOR FIELDS