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

Title: Multipoint Green's functions in 1 + 1 dimensional integrable quantum field theories

Journal Article · · Nuclear Physics. B

We calculate the multipoint Green functions in 1+1 dimensional integrable quantum field theories. We use the crossing formula for general models and calculate the 3 and 4 point functions taking in to account only the lower nontrivial intermediate states contributions. Then we apply the general results to the examples of the scaling Z2 Ising model, sinh-Gordon model and Z3 scaling Potts model. We demonstrate this calculations explicitly. The results can be applied to physical phenomena as for example to the Raman scattering.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-98CH10886; SC0012704
OSTI ID:
1344000
Alternate ID(s):
OSTI ID: 1372439
Report Number(s):
BNL-113974-2017-JA; S0550321317300470; PII: S0550321317300470
Journal Information:
Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 917 Journal Issue: C; ISSN 0550-3213
Publisher:
ElsevierCopyright Statement
Country of Publication:
Netherlands
Language:
English

References (19)

Electronic Raman scattering in correlated materials: A treatment of nonresonant, mixed, and resonant scattering using dynamical mean-field theory journal January 2005
Exact form factors in integrable quantum field theories: the scaling -Ising model journal February 2006
Factorizable Z(N) models journal September 1979
Multidimensional pump-probe spectroscopy with entangled twin-photon states journal June 2009
The intrinsic coupling in integrable quantum field theories journal September 2000
The exact quantum sine-Gordon field equation and other non-perturbative results journal December 1999
Optical multidimensional coherent spectroscopy journal July 2013
The exact solution of 2D ZN invariant statistical models journal December 1988
Exact solution of the one-dimensional isotropic Heisenberg chain with arbitrary spins S journal August 1982
Inelastic light scattering from correlated electrons journal January 2007
Exact form factors in integrable quantum field theories: the sine-Gordon model (II) journal January 2002
Construction of Green's functions from an exact S matrix journal April 1979
Probing strong correlations with light scattering: Example of the quantum Ising model journal October 2016
Sine-Gordon breather form factors and quantum field equations journal October 2002
Exact form factors in integrable quantum field theories: the sine-Gordon model journal January 1999
Complete S-matrix of the massive thirring model journal November 1977
Exact form factors in (1 + 1)-dimensional field theoretic models with soliton behaviour journal July 1978
A mechanism for ferrimagnetism and incommensurability in one-dimensional systems journal October 2001
The picture of low-lying excitations in the isotropic Heisenberg chain of arbitrary spins journal February 1982

Similar Records

Multipoint propagators for non-Gaussian initial conditions
Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields · OSTI ID:1344000

Exact integrability of strings in [ital D]-dimensional de Sitter spacetime
Journal Article · Thu Apr 15 00:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States) · OSTI ID:1344000

Multipoint propagators in cosmological gravitational instability
Journal Article · Sat Nov 15 00:00:00 EST 2008 · Physical Review. D, Particles Fields · OSTI ID:1344000