Matching conditions and duality in {ital N}=1 SUSY gauge theories in the conformal window

Journal Article · Mon Apr 01 00:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.4526· OSTI ID:282188

Kogan, I I ^[1]; Shifman, M ^[2]; Vainshtein, A ^[2]

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1. Theoretical Physics, 1 Keble Road, Oxford, OX1 3NP (United Kingdom)
2. Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)

We discuss duality in {ital N}=1 SUSY gauge theories in Seiberg{close_quote}s conformal window, 3{ital N}{sub {ital c}}/2{lt}{ital N}{sub {ital f}}{lt}3{ital N}{sub {ital c}}. The {close_quote}t Hooft consistency conditions, the basic tool for establishing the infrared duality, are considered taking into account higher order {alpha} corrections. The conserved (anomaly-free) {ital R} current is built to all orders in {alpha}. Although this current contains all orders in {alpha} the {close_quote}t Hooft consistency conditions for this current are shown to be one loop. This observation thus justifies Seiberg{close_quote}s matching procedure. We also briefly discuss the inequivalence of the {open_quote}{open_quote}electric{close_quote}{close_quote} and {open_quote}{open_quote}magnetic{close_quote}{close_quote} theories at short distances. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: Univ. of Minnesota, Minneapolis, MN (United States)
• DOE Contract Number: FG02-94ER40823
• OSTI ID: 282188
• Journal Information: Physical Review, D, Vol. 53, Issue 8; Other Information: PBD: Apr 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SUPERSYMMETRY
DUALITY
ELECTRICITY
CORRECTIONS
QUANTUM CHROMODYNAMICS
PHOTONS
INFRARED DIVERGENCES
AXIAL-VECTOR CURRENTS