Class of scalar-field soliton solutions in three space dimensions

Journal Article · Sat May 15 00:00:00 EDT 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.2739· OSTI ID:7364114

Friedberg, R; Lee, T D; Sirlin, A

A class of three-space-dimensional soliton solutions is given; these solitons are made of scalar fields and are of a nontopological nature. The necessary conditions for having such soliton solutions are (I) the conservation of an additive quantum number, say Q, and (II) the presence of a neutral (Q = 0) scalar field. It is shown that there exist two critical values of the additive quantum number, Q/sub C/ and Q/sub S/, with Q/sub C/ smaller than Q/sub S/. Soliton solutions exist for Q > Q/sub C/. When Q > Q/sub S/, the lowest soliton mass is < Qm, where m is the mass of the free charged meson field; therefore, there are solitons that are stable quantum mechanically as well as classically. When Q is between Q/sub C/ and Q/sub S/, the soliton mass is > Qm; never and Q/sub S/, the soliton mass is > Qm; nevertheless, the lowest-energy soliton solution can be shown to be always classically stable, though quantum-mechanically metastable. The canonical quantization procedures are carried out. General theorems on stability are established, and specific numerical results of the soliton solutions are given. (AIP)

• Research Organization: Barnard College and Columbia University, New York, New York 10027
• OSTI ID: 7364114
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 13:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

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QUANTUM FIELD THEORY
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