Two-dimensional light-front ϕ 4 theory in a symmetric polynomial basis

Burkardt, Matthias; Chabysheva, Sophia S.; Hiller, John R.

doi:10.1103/PhysRevD.94.065006

Title: Two-dimensional light-front $ϕ^{4}$ theory in a symmetric polynomial basis

Journal Article · Fri Sep 09 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.94.065006· OSTI ID:1323576

Burkardt, Matthias; Chabysheva, Sophia S.; Hiller, John R.

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG03-95ER40965

OSTI ID:: 1323576

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 94 Journal Issue: 6; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 23 works

Citation information provided by
Web of Science

References (36)

Density matrix renormalization group in a two-dimensional ⁴ Hamiltonian lattice model Sugihara, Takanori Journal of High Energy Physics, Vol. 2004, Issue 05 https://doi.org/10.1088/1126-6708/2004/05/007	journal	May 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
Solving two-dimensional $φ^{4}$ theory by discretized light-front quantization Harindranath, A.; Vary, J. P. Physical Review D, Vol. 36, Issue 4 https://doi.org/10.1103/PhysRevD.36.1141	journal	August 1987
The diagonalization of quantum field Hamiltonians Lee, Dean; Salwen, Nathan; Lee, Daniel Physics Letters B, Vol. 503, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00197-6	journal	March 2001
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
Explanation and prediction of observables using continuum strong QCD Cloët, Ian C.; Roberts, Craig D. Progress in Particle and Nuclear Physics, Vol. 77 https://doi.org/10.1016/j.ppnp.2014.02.001	journal	July 2014
Quantum fluctuations in a $φ^{4}$ field theory. I. Stability of the vacuum Chang, Shau-Jin Physical Review D, Vol. 12, Issue 4 https://doi.org/10.1103/PhysRevD.12.1071	journal	August 1975
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
Discretized light-cone quantization: Solution to a field theory in one space and one time dimension Pauli, Hans-Christian; Brodsky, Stanley J. Physical Review D, Vol. 32, Issue 8 https://doi.org/10.1103/PhysRevD.32.2001	journal	October 1985
Symmetric multivariate polynomials as a basis for three-boson light-front wave functions Chabysheva, Sophia S.; Elliott, Blair; Hiller, John R. Physical Review E, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevE.88.063307	journal	December 2013
Improved lattice measurement of the critical coupling in ϕ 2 4 theory Schaich, David; Loinaz, Will Physical Review D, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevD.79.056008	journal	March 2009
Application of the light-front coupled-cluster method to $ϕ^{4}$ theory in two dimensions Elliott, Blair; Chabysheva, Sophia S.; Hiller, John R. Physical Review D, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevD.90.056003	journal	September 2014
Light-front quantization of the sine-Gordon model Burkardt, Matthias Physical Review D, Vol. 47, Issue 10 https://doi.org/10.1103/PhysRevD.47.4628	journal	May 1993
Hamiltonian light-front field theory in a basis function approach Vary, J. P.; Honkanen, H.; Li, Jun Physical Review C, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRevC.81.035205	journal	March 2010
Ab initio results for the broken phase of scalar light front field theory Chakrabarti, Dipankar; Harindranath, A.; Martinovič, L'ubomir Physics Letters B, Vol. 617, Issue 1-2 https://doi.org/10.1016/j.physletb.2005.05.012	journal	June 2005
Quantum Chromodynamics on the Lattice Gattringer, Christof; Lang, Christian B. Lecture Notes in Physics https://doi.org/10.1007/978-3-642-01850-3	book	January 2010
Kinks in discrete light cone quantization Chakrabarti, Dipankar; Harindranath, A.; Martinovič, L'ubomir Physics Letters B, Vol. 582, Issue 3-4 https://doi.org/10.1016/j.physletb.2003.12.049	journal	March 2004
Zero momentum modes in discrete light-cone quantization Chabysheva, Sofia S.; Hiller, John R. Physical Review D, Vol. 79, Issue 9 https://doi.org/10.1103/PhysRevD.79.096012	journal	May 2009
Renormalization in the light-front Tamm-Dancoff approach to field theory Perry, Robert J.; Harindranath, Avaroth Physical Review D, Vol. 43, Issue 12 https://doi.org/10.1103/PhysRevD.43.4051	journal	June 1991
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
Hamiltonian truncation study of the $φ^{4}$ theory in two dimensions Rychkov, Slava; Vitale, Lorenzo G. Physical Review D, Vol. 91, Issue 8 https://doi.org/10.1103/PhysRevD.91.085011	journal	April 2015
Transition in the spectrum of the topological sector of $ϕ_{2}^{4}$ theory at strong coupling Chakrabarti, Dipankar; Harindranath, A.; Vary, J. P. Physical Review D, Vol. 71, Issue 12 https://doi.org/10.1103/PhysRevD.71.125012	journal	June 2005
Zero modes in the light-front coupled-cluster method Chabysheva, Sophia S.; Hiller, John R. Annals of Physics, Vol. 340, Issue 1 https://doi.org/10.1016/j.aop.2013.10.016	journal	January 2014
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
Basis of symmetric polynomials for many-boson light-front wave functions Chabysheva, Sophia S.; Hiller, John R. Physical Review E, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevE.90.063310	journal	December 2014
A light-front coupled-cluster method for the nonperturbative solution of quantum field theories Chabysheva, Sophia S.; Hiller, John R. Physics Letters B, Vol. 711, Issue 5 https://doi.org/10.1016/j.physletb.2012.04.032	journal	May 2012
On the nonperturbative solution of Pauli–Villars-regulated light-front QED: A comparison of the sector-dependent and standard parameterizations Chabysheva, Sophia S.; Hiller, John R. Annals of Physics, Vol. 325, Issue 11 https://doi.org/10.1016/j.aop.2010.05.006	journal	November 2010
Spontaneous Symmetry Breaking at Infinite Momentum without $P^{+}$ Zero Modes Rozowsky, Joel S.; Thorn, Charles B. Physical Review Letters, Vol. 85, Issue 8 https://doi.org/10.1103/PhysRevLett.85.1614	journal	August 2000
The infrared behaviour of QCD Green's functions Confinement, dynamical symmetry breaking, and hadrons as relativistic bound states Alkofer, R. Physics Reports, Vol. 353, Issue 5-6 https://doi.org/10.1016/S0370-1573(01)00010-2	journal	November 2001
Dyson-Schwinger equations: Density, temperature and continuum strong QCD Roberts, C. D.; Schmidt, S. M. Progress in Particle and Nuclear Physics, Vol. 45 https://doi.org/10.1016/S0146-6410(00)90011-5	journal	January 2000
Matrix product states and variational methods applied to critical quantum field theory Milsted, Ashley; Haegeman, Jutho; Osborne, Tobias J. Physical Review D, Vol. 88, Issue 8 https://doi.org/10.1103/PhysRevD.88.085030	journal	October 2013
Existence of a second-order phase transition in a two-dimensional $φ^{4}$ field theory Chang, Shau-Jin Physical Review D, Vol. 13, Issue 10 https://doi.org/10.1103/PhysRevD.13.2778	journal	May 1976
Dyson-Schwinger equations and their application to hadronic physics Roberts, Craig D.; Williams, Anthony G. Progress in Particle and Nuclear Physics, Vol. 33 https://doi.org/10.1016/0146-6410(94)90049-3	journal	January 1994
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
Lattice Gauge Theories: An Introduction Rothe, Heinz J. World Scientific Lecture Notes in Physics https://doi.org/10.1142/8229	book	March 2012
Monte Carlo determination of the critical coupling in ϕ 2 4 theory Bosetti, Paolo; De Palma, Barbara; Guagnelli, Marco Physical Review D, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevD.92.034509	journal	August 2015

Similar Records

Critical coupling for two-dimensional

ϕ^{4}

theory in discretized light-cone quantization

Journal Article · Tue Jan 25 00:00:00 EST 2022 · Physical Review D · OSTI ID:1323576

Vary, James P.; Huang, Mengyao; Jawadekar, Shreeram; +3 more

Critical behavior of the

P T

-symmetric

i ϕ^{3}

quantum field theory

Journal Article · Tue Apr 16 00:00:00 EDT 2013 · Physical Review D · OSTI ID:1323576

Bender, Carl M.; Branchina, V.; Messina, Emanuele

Lattice

ϕ^{4}

field theory on Riemann manifolds: Numerical tests for the 2D Ising CFT on

S^{2}

Journal Article · Fri Jul 06 00:00:00 EDT 2018 · Physical Review D · OSTI ID:1323576

Brower, Richard C.; Cheng, Michael; Weinberg, Evan S.; +4 more

Title: Two-dimensional light-front ϕ 4 theory in a symmetric polynomial basis

Citation Formats

References (36)

Similar Records

Related Subjects

Title: Two-dimensional light-front $ϕ^{4}$ theory in a symmetric polynomial basis