Perturbative aspects of heterotically deformed CP(N-1) sigma model

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.105022· OSTI ID:21503671

Xiaoyi, Cui ^[1]; Shifman, M ^[2]

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1. Physics Department, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
2. William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States) and Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts 02138 (United States)

In this paper we begin the study of renormalizations in the heterotically deformed N=(0,2) CP(N-1) sigma models. In addition to the coupling constant g{sup 2} of the undeformed N=(2,2) model, there is the second coupling constant {gamma} describing the strength of the heterotic deformation. We calculate both {beta} functions, {beta}{sub g} and {beta}{sub {gamma}} at one loop, determining the flow of g{sup 2} and {gamma}. Under a certain choice of the initial conditions, the theory is asymptotically free. The {beta} function for the ratio {rho}={gamma}{sup 2}/g{sup 2} exhibits an infrared fixed point at {rho}=1/2. Formally this fixed point lies outside the validity of the one-loop approximation. We argue, however, that the fixed point at {rho}=1/2 may survive to all orders. The reason is the enhancement of symmetry--emergence of a chiral fermion flavor symmetry in the heterotically deformed Lagrangian--at {rho}=1/2. Next we argue that {beta}{sub {rho}} formally obtained at one loop, is exact to all orders in the large-N (planar) approximation. Thus, the fixed point at {rho}=1/2 is definitely the feature of the model in the large-N limit.

• OSTI ID: 21503671
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 10; Other Information: DOI: 10.1103/PhysRevD.82.105022; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
CHIRALITY
COMPUTERIZED SIMULATION
COUPLING CONSTANTS
DEFORMATION
FERMIONS
FLAVOR MODEL
LAGRANGIAN FUNCTION
RENORMALIZATION
SIGMA MODEL
SYMMETRY
BOSON-EXCHANGE MODELS
CALCULATION METHODS
COMPOSITE MODELS
FUNCTIONS
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
QUARK MODEL
SIMULATION