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

Karmanov, Vladimir A.; Li, Yang; Smirnov, Alexander V.; Vary, James P.

doi:10.1103/physrevd.94.096008

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

Journal Article · Thu Nov 17 00:00:00 EST 2016 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.94.096008· OSTI ID:1536168

Karmanov, Vladimir A. ^[1]; Li, Yang ^[2]; Smirnov, Alexander V. ^[3]; Vary, James P. ^[2]

Lebedev Physical Institute,, Moscow (Russia); DOE/OSTI
Iowa State University, Ames, IA (United States)
All-Russian Research Institute for Nuclear Power Plant Operations, Moscow (Russia)

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”.

View Accepted Manuscript (DOE)

Research Organization:: Iowa State University, Ames, IA (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; FG02-87ER40371; SC0008485

OSTI ID:: 1536168

Alternate ID(s):: OSTI ID: 1332596

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 94; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (17)

Nonperturbative Renormalization in Light-Front Dynamics and Applications Mathiot, J. -F.; Smirnov, A. V.; Tsirova, N. A. Few-Body Systems, Vol. 49, Issue 1-4 https://doi.org/10.1007/s00601-010-0188-3	journal	December 2010
Non-perturbative Calculation of the Scalar Yukawa Theory in Four-Body Truncation Li, Yang; Karmanov, V. A.; Maris, P. Few-Body Systems, Vol. 56, Issue 6-9 https://doi.org/10.1007/s00601-015-0965-0	journal	March 2015
Null-plane dynamics of particles and fields Coester, F. Progress in Particle and Nuclear Physics, Vol. 29 https://doi.org/10.1016/0146-6410(92)90002-J	journal	January 1992
Electromagnetic form factors in the light-front dynamics Karmanov, V. A.; Smirnov, A. V. Nuclear Physics A, Vol. 546, Issue 4 https://doi.org/10.1016/0375-9474(92)90004-4	journal	September 1992
Quantum chromodynamics and other field theories on the light cone Brodsky, S. Physics Reports, Vol. 301, Issue 4-6 https://doi.org/10.1016/S0370-1573(97)00089-6	journal	August 1998
Explicitly covariant light-front dynamics and relativistic few-body systems Carbonell, J.; Desplanques, B.; Karmanov, V. A. Physics Reports, Vol. 300, Issue 5-6 https://doi.org/10.1016/S0370-1573(97)00090-2	journal	July 1998
Ab initio approach to the non-perturbative scalar Yukawa model Li, Yang; Karmanov, V. A.; Maris, P. Physics Letters B, Vol. 748 https://doi.org/10.1016/j.physletb.2015.07.014	journal	September 2015
Inconsistency of Cubic Boson-Boson Interactions Baym, Gordon Physical Review, Vol. 117, Issue 3 https://doi.org/10.1103/PhysRev.117.886	journal	February 1960
Nonperturbative renormalization and the electron’s anomalous moment in large-α QED Hiller, John R.; Brodsky, Stanley J. Physical Review D, Vol. 59, Issue 1 https://doi.org/10.1103/PhysRevD.59.016006	journal	December 1998
Stability of the scalar χ 2 φ interaction Gross, Franz; Şavklı, Çetin; Tjon, John Physical Review D, Vol. 64, Issue 7 https://doi.org/10.1103/PhysRevD.64.076008	journal	September 2001
Nonperturbative renormalization in a scalar model within light-front dynamics Bernard, D.; Cousin, Th.; Karmanov, V. A. Physical Review D, Vol. 65, Issue 2 https://doi.org/10.1103/PhysRevD.65.025016	journal	December 2001
Renormalized nonperturbative fermion model in covariant light-front dynamics Karmanov, V. A.; Mathiot, J. -F.; Smirnov, A. V. Physical Review D, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevD.69.045009	journal	February 2004
Systematic renormalization scheme in light-front dynamics with Fock space truncation Karmanov, V. A.; Mathiot, J. -F.; Smirnov, A. V. Physical Review D, Vol. 77, Issue 8 https://doi.org/10.1103/PhysRevD.77.085028	journal	April 2008
Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space Karmanov, V. A.; Mathiot, J. -F.; Smirnov, A. V. Physical Review D, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevD.82.056010	journal	September 2010
Ab initio nonperturbative calculation of physical observables in light-front dynamics: Application to the Yukawa model Karmanov, V. A.; Mathiot, J. -F.; Smirnov, A. V. Physical Review D, Vol. 86, Issue 8 https://doi.org/10.1103/PhysRevD.86.085006	journal	October 2012
Light-front Tamm-Dancoff field theory Perry, Robert J.; Harindranath, Avaroth; Wilson, Kenneth G. Physical Review Letters, Vol. 65, Issue 24 https://doi.org/10.1103/PhysRevLett.65.2959	journal	December 1990
Forms of Relativistic Dynamics Dirac, P. A. M. Reviews of Modern Physics, Vol. 21, Issue 3 https://doi.org/10.1103/RevModPhys.21.392	journal	July 1949

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