Dual currents in arbitrary space-time dimension

Journal Article · Sun Feb 01 04:00:00 EST 1976 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.13.1021· OSTI ID:4017478

Johnson, Edward A.

Schwartz has shown a procedure for describing off-mass-shell states in dual models. The construction of such states is an important preliminary to constructing physical currents. The basis requirement motivating the construction of such states is that amplitudes with off-mass-shell lines should contain exactly the same spectrum of hadrons as the corresponding on mass-shell model. This condition, which one must neccessarily impose if one hopes to describe physical currents, led Schwarz to construct a dual current for a particular choice of space-time dimension D, namely D = 16. Since this is not the critical dimension of the Veneziano model, a modification of the model appears to be necessary in order to bring the two dimensions into coincidence. In this paper a method is constructed to find solutions which hold for any choice of space-dimension D. This current is constructed perturbatively, and a unique solution is found up to the 6th level, given a few assumptions. (AIP)

• Research Organization: The City College of The City University of New York, New York, New York 10031
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-031393
• OSTI ID: 4017478
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 13; ISSN PRVDAQ; ISSN 0556-2821
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

*CURRENT ALGEBRA-- DUALITY
*VENEZIANO MODEL-- MANY-DIMENSIONAL CALCULATIONS
641101*
CURRENT COMMUTATORS
N64210* --Physics (High Energy)--Particle Interactions & Properties (Theoretical)--General
QUANTUM OPERATORS
SCATTERING AMPLITUDES
SPACE-TIME