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

Abstract

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.

Authors:
 [1];  [1];  [2];  [3];  [4]
+ Show Author Affiliations
  1. International School for Advanced Studies and INFN, Trieste (Italy)
  2. Univ. of Amsterdam, Amsterdam (The Netherlands)
  3. Brookhaven National Lab. (BNL), Upton, NY (United States)
  4. International School for Advanced Studies and INFN, Trieste (Italy); The Abdus Salam International Centre of Theoretical Physics, Trieste (Italy)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1193193
Report Number(s):
BNL-107747-2015-JA
Journal ID: ISSN 1742-5468; R&D Project: PO015; KC0202030
Grant/Contract Number:  
SC00112704
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Statistical Mechanics
Additional Journal Information:
Journal Volume: 2014; Journal Issue: 12; Journal ID: ISSN 1742-5468
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; quantum phase transitions (theory); other numerical approaches; conformal field theory (theory)

Citation Formats

Coser, A., Beria, M., Brandino, G. P., Konik, R. M., and Mussardo, G. Truncated conformal space approach for 2D Landau–Ginzburg theories. United States: N. p., 2014. Web. doi:10.1088/1742-5468/2014/12/P12010.
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Coser, A., Beria, M., Brandino, G. P., Konik, R. M., & Mussardo, G. Truncated conformal space approach for 2D Landau–Ginzburg theories. United States. https://doi.org/10.1088/1742-5468/2014/12/P12010
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Coser, A., Beria, M., Brandino, G. P., Konik, R. M., and Mussardo, G. Wed . "Truncated conformal space approach for 2D Landau–Ginzburg theories". United States. https://doi.org/10.1088/1742-5468/2014/12/P12010. https://www.osti.gov/servlets/purl/1193193.
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@article{osti_1193193,
title = {Truncated conformal space approach for 2D Landau–Ginzburg theories},
author = {Coser, A. and Beria, M. and Brandino, G. P. and Konik, R. M. and Mussardo, G.},
abstractNote = {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.},
doi = {10.1088/1742-5468/2014/12/P12010},
journal = {Journal of Statistical Mechanics},
number = 12,
volume = 2014,
place = {United States},
year = {Wed Dec 10 00:00:00 EST 2014},
month = {Wed Dec 10 00:00:00 EST 2014}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1088/1742-5468/2014/12/P12010
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