Nonrelativistic field-theoretic scale anomaly
Journal Article
·
· Physical Review, D (Particles Fields); (United States)
- Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
We construct a nonrelativistic scalar field theory with a quartic self-interaction in 2+1 dimensions as an infinite mass limit of a relativistic theory, and calculate the two-particle scattering amplitude and two-particle bound-state energy. We show that the results are the same as for quantum mechanics of two scalar particles interacting via a [delta]-function potential. Renormalization of the theory reveals an anomalous breaking of scale symmetry. The renormalization group structure is presented and the anomaly is expressed in terms of the trace of the energy-momentum tensor.
- DOE Contract Number:
- AC02-76ER03069
- OSTI ID:
- 6991363
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:12; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Stress-tensor trace anomaly in a gravitational metric: Scalar fields
Scale anomalies in nonrelativistic field theories in 2+1 dimensions
Trace and dilation anomalies in gauge theories
Journal Article
·
Mon Mar 14 23:00:00 EST 1977
· Phys. Rev., D; (United States)
·
OSTI ID:7308982
Scale anomalies in nonrelativistic field theories in 2+1 dimensions
Journal Article
·
Fri Apr 15 00:00:00 EDT 1994
· Physical Review, D (Particles Fields); (United States)
·
OSTI ID:5020746
Trace and dilation anomalies in gauge theories
Journal Article
·
Fri Jul 15 00:00:00 EDT 1977
· Phys. Rev., D; (United States)
·
OSTI ID:7288895
Related Subjects
661100* -- Classical & Quantum Mechanics-- (1992-)
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOUND STATE
COUPLING CONSTANTS
CROSS SECTIONS
DELTA FUNCTION
ENERGY-MOMENTUM TENSOR
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
INTERACTIONS
MANY-BODY PROBLEM
MASS
MECHANICS
PARTICLE INTERACTIONS
QUANTUM MECHANICS
RELATIVITY THEORY
RENORMALIZATION
SCALAR FIELDS
SCATTERING AMPLITUDES
SYMMETRY BREAKING
TENSORS
THREE-DIMENSIONAL CALCULATIONS
TWO-BODY PROBLEM
ULTRAVIOLET DIVERGENCES
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOUND STATE
COUPLING CONSTANTS
CROSS SECTIONS
DELTA FUNCTION
ENERGY-MOMENTUM TENSOR
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
INTERACTIONS
MANY-BODY PROBLEM
MASS
MECHANICS
PARTICLE INTERACTIONS
QUANTUM MECHANICS
RELATIVITY THEORY
RENORMALIZATION
SCALAR FIELDS
SCATTERING AMPLITUDES
SYMMETRY BREAKING
TENSORS
THREE-DIMENSIONAL CALCULATIONS
TWO-BODY PROBLEM
ULTRAVIOLET DIVERGENCES