Classical open string models in four-dimensional Minkowski spacetime

Journal Article · Mon Aug 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.2769· OSTI ID:7015659

Wegrzyn, P ^[1]

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1. Department of Field Theory, Institute of Physics, Jagellonian University, 30-059 Cracow 16 (Poland)

Classical bosonic open string models in four-dimensinal Minkowski spacetime are discussed. Special attention is paid to the choice of edge conditions, which can follow consistently from the action principle. We consider Lagrangians that can depend on second order derivatives of world sheet coordinates. A revised interpretation of the variational problem for such string theories is given. We derive a general form of a boundary term that can be added to the open string action to control edge conditions and modify conservation laws. An extended boundary problem for minimal surface is examined. Following the treatment of this model in the geometric approach, we obtain that classical open string states correspond to solutions of a complex Liouville equation. In contrast with the Nambu-Goto case, the Liouville potential is finite and constant at world sheet boundaries. The phase part of the potential defines topological sectors of solutions.

• OSTI ID: 7015659
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:4; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
STRING MODELS
FOUR-DIMENSIONAL CALCULATIONS
MINKOWSKI SPACE
ACTION INTEGRAL
BOUNDARY CONDITIONS
CONSERVATION LAWS
LIOUVILLE THEOREM
SPACE-TIME
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
INTEGRALS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
QUARK MODEL
SPACE
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)