Truncated conformal space approach for 2D Landau–Ginzburg theories

Coser, A.; Beria, M.; Brandino, G. P.; Konik, R. M.; Mussardo, G.

doi:10.1088/1742-5468/2014/12/P12010

Title: Truncated conformal space approach for 2D Landau–Ginzburg theories

Journal Article · Wed Dec 10 00:00:00 EST 2014 · Journal of Statistical Mechanics

DOI:https://doi.org/10.1088/1742-5468/2014/12/P12010· OSTI ID:1193193

Coser, A. ^[1]; Beria, M. ^[1]; Brandino, G. P. ^[2]; Konik, R. M. ^[3]; Mussardo, G. ^[4]

International School for Advanced Studies and INFN, Trieste (Italy)
Univ. of Amsterdam, Amsterdam (The Netherlands)
Brookhaven National Lab. (BNL), Upton, NY (United States)
International School for Advanced Studies and INFN, Trieste (Italy); The Abdus Salam International Centre of Theoretical Physics, Trieste (Italy)

In this study, We examine the spectrum of Landau–Ginzburg theories in 1 + 1 dimensions using the truncated conformal space approach employing a compactified boson. We study these theories both in their broken and unbroken phases. We first demonstrate that we can reproduce the expected spectrum of a Φ² theory (i.e. a free massive boson) in this framework. We then turn to Φ⁴ in its unbroken phase and compare our numerical results with the predictions of two-loop perturbation theory, finding excellent agreement. We then analyze the broken phase of Φ⁴ where kink excitations together with their bound states are present. We confirm the semiclassical predictions for this model on the number of stable kink-antikink bound states. We also test the semiclassics in the double well phase of Φ⁶ Landau-Ginzburg theory, again finding agreement.

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

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

Grant/Contract Number:: SC00112704

OSTI ID:: 1193193

Report Number(s):: BNL-107747-2015-JA; R&D Project: PO015; KC0202030

Journal Information:: Journal of Statistical Mechanics, Vol. 2014, Issue 12; ISSN 1742-5468

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 23 works

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