skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations

Journal Article · · Physical Review. D.
 [1];  [2];  [3];  [2]
  1. Lebedev Physical Institute,, Moscow (Russia)
  2. Iowa State University, Ames, IA (United States)
  3. All-Russian Research Institute for Nuclear Power Plant Operations, Moscow (Russia)
+ Show Author Affiliations

The light-front Tamm-Dancoff method of finding the nonperturbative solutions in field theory is based on the Fock decomposition of the state vector, complemented by the sector-dependent nonperturbative renormalization scheme. We show in detail how to implement the renormalization procedure and to solve the simplest nontrivial example of the scalar Yukawa model in the two- and three-body Fock space truncations incorporating scalar “nucleon” and one or two scalar “pions”.

Research Organization:
Iowa State Univ., Ames, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-87ER40371; SC0008485; AC02-05CH11231; DESC0008485
OSTI ID:
1536168
Alternate ID(s):
OSTI ID: 1332596
Journal Information:
Physical Review. D., Vol. 94, Issue 9; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (17)

Systematic renormalization scheme in light-front dynamics with Fock space truncation journal April 2008
Non-perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation journal March 2015
Nonperturbative renormalization and the electron’s anomalous moment in large-α QED journal December 1998
Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space journal September 2010
Quantum chromodynamics and other field theories on the light cone journal August 1998
Inconsistency of Cubic Boson-Boson Interactions journal February 1960
Ab initio approach to the non-perturbative scalar Yukawa model journal September 2015
Nonperturbative Renormalization in Light-Front Dynamics and Applications journal December 2010
Electromagnetic form factors in the light-front dynamics journal September 1992
Nonperturbative renormalization in a scalar model within light-front dynamics journal December 2001
Light-front Tamm-Dancoff field theory journal December 1990
Stability of the scalar χ 2 φ interaction journal September 2001
Renormalized nonperturbative fermion model in covariant light-front dynamics journal February 2004
Forms of Relativistic Dynamics journal July 1949
Explicitly covariant light-front dynamics and relativistic few-body systems journal July 1998
Null-plane dynamics of particles and fields journal January 1992
Ab initio nonperturbative calculation of physical observables in light-front dynamics: Application to the Yukawa model journal October 2012

Similar Records

Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space
Journal Article · Wed Sep 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields · OSTI ID:1536168
Systematic renormalization scheme in light-front dynamics with Fock space truncation
Journal Article · Tue Apr 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields · OSTI ID:1536168
Nonperturbative renormalization group in a light-front three-dimensional real scalar model
Journal Article · Sat Feb 01 00:00:00 EST 1997 · Physical Review, D · OSTI ID:1536168

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
form factors
nonperturbative effects in field theory
quantum field theory
renormalization