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

Babujian, H. M.; Karowski, M.; Tsvelik, A. M.

doi:10.1016/j.nuclphysb.2017.02.002

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

Abstract

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.

Authors:

; Karowski, M.; Tsvelik, A. M.

Publication Date:: Sat Apr 01 00:00:00 EDT 2017

Research Org.:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1344000

Alternate Identifier(s):: OSTI ID: 1372439

Report Number(s):: BNL-113974-2017-JA
Journal ID: ISSN 0550-3213; S0550321317300470; PII: S0550321317300470

Grant/Contract Number:: AC02-98CH10886; SC0012704

Resource Type:: Published Article

Journal Name:: Nuclear Physics. B

Additional Journal Information:: Journal Name: Nuclear Physics. B Journal Volume: 917 Journal Issue: C; Journal ID: ISSN 0550-3213

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Integrable quantum field theory; Form factors; Green's functions

Citation Formats


                    Babujian, H. M., Karowski, M., and Tsvelik, A. M. Multipoint Green's functions in 1 + 1 dimensional integrable quantum field theories.  Netherlands: N. p., 2017. 
Web.  doi:10.1016/j.nuclphysb.2017.02.002.

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                    Babujian, H. M., Karowski, M., & Tsvelik, A. M. Multipoint Green's functions in 1 + 1 dimensional integrable quantum field theories.  Netherlands.  https://doi.org/10.1016/j.nuclphysb.2017.02.002

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                    Babujian, H. M., Karowski, M., and Tsvelik, A. M. Sat .  
"Multipoint Green's functions in 1 + 1 dimensional integrable quantum field theories".  Netherlands.  https://doi.org/10.1016/j.nuclphysb.2017.02.002.

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@article{osti_1344000,

  title        = {Multipoint Green's functions in 1 + 1 dimensional integrable quantum field theories},

  author       = {Babujian, H. M. and Karowski, M. and Tsvelik, A. M.},

  abstractNote = {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.},

  doi          = {10.1016/j.nuclphysb.2017.02.002},

  journal      = {Nuclear Physics. B},

  number       = C,

  volume       = 917,

  place        = {Netherlands},

  year         = {Sat Apr 01 00:00:00 EDT 2017},

  month        = {Sat Apr 01 00:00:00 EDT 2017}

}

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Works referenced in this record:

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

Abstract

Citation Formats

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