On the moduli space of semilocal strings and lumps

Journal Article · Thu Nov 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.105002· OSTI ID:21027880

Eto, Minoru ^[1]; Evslin, Jarah ^[2]; Konishi, Kenichi; Vinci, Walter ^[3]; Marmorini, Giacomo ^[3]; Nitta, Muneto ^[4]; Ohashi, Keisuke ^[5]; Yokoi, Naoto ^[1]

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1. Institute of Physics, University of Tokyo, Komaba 3-8-1, Meguro-ku Tokyo 153-8902 (Japan)
2. Department of Physics, University of Pisa Largo Pontecorvo, 3, Ed. C, 56127 Pisa (Italy)
3. INFN, Sezione di Pisa, Largo Pontecorvo, 3, Ed. C, 56127 Pisa (Italy)
4. Department of Physics, Keio University, Hiyoshi, Yokohama, Kanagawa 223-8521 (Japan)
5. Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551 (Japan)

We study Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian semilocal vortices in U(N{sub C}) gauge theory with N{sub F} flavors, N{sub F}>N{sub C}, in the Higgs phase. The moduli space for an arbitrary winding number is described using the moduli matrix formalism. We find a relation between the moduli spaces of the semilocal vortices in Seiberg-like dual pairs of theories, U(N{sub C}) and U(N{sub F}-N{sub C}). They are two alternative regularizations of a parent non-Hausdorff space, which tend to the same moduli space of sigma model lumps in the infinite gauge coupling limits. We examine the normalizability of the zero-modes and find the somewhat surprising phenomenon that the number of normalizable zero-modes, dynamical fields in the effective action, depends on the point of the moduli space we are considering. We find, in the lump limit, an effective action on the vortex world sheet, which we compare to that found by Shifman and Yung.

• OSTI ID: 21027880
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
COMPARATIVE EVALUATIONS
COUPLING
FLAVOR MODEL
GAUGE INVARIANCE
HAUSDORFF SPACE
HIGGS BOSONS
HIGGS MODEL
MATRICES
QUANTUM FIELD THEORY
SIGMA MODEL
STRING MODELS
U GROUPS
VORTICES