Do numbers extracted near crossovers represent continuum physics?

Gyan Bhanot, Roger Dashen

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

We study the fundamental-adjoint SU(2) lattice gauge theory in four dimensions by Monte Carlo simulations. We show that the string tension at the endpoint of the first-order line is finite. The endpoint is therefore not a second-order critical point of the traditional variety. We also measure the lattice Λ parameter from simulations along a line close to this endpoint and find Λ = (3.0 ± 0.3) × 10-3 σ. This disagrees from previous measurements for the pure fundamental Wilson theory by a factor of 4. Our results cast serious doubt on all continuum limit estimates made near quasi-critical and crossover regions.

Original languageEnglish (US)
Pages (from-to)299-302
Number of pages4
JournalPhysics Letters B
Volume113
Issue number4
DOIs
StatePublished - Jun 24 1982

Fingerprint

crossovers
continuums
physics
gauge theory
casts
lattice parameters
critical point
strings
simulation
estimates

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Bhanot, Gyan ; Dashen, Roger. / Do numbers extracted near crossovers represent continuum physics?. In: Physics Letters B. 1982 ; Vol. 113, No. 4. pp. 299-302.
@article{98c02ec8daa14ef58ae0d2efc905ed5e,
title = "Do numbers extracted near crossovers represent continuum physics?",
abstract = "We study the fundamental-adjoint SU(2) lattice gauge theory in four dimensions by Monte Carlo simulations. We show that the string tension at the endpoint of the first-order line is finite. The endpoint is therefore not a second-order critical point of the traditional variety. We also measure the lattice Λ parameter from simulations along a line close to this endpoint and find Λ = (3.0 ± 0.3) × 10-3 σ. This disagrees from previous measurements for the pure fundamental Wilson theory by a factor of 4. Our results cast serious doubt on all continuum limit estimates made near quasi-critical and crossover regions.",
author = "Gyan Bhanot and Roger Dashen",
year = "1982",
month = "6",
day = "24",
doi = "10.1016/0370-2693(82)90043-0",
language = "English (US)",
volume = "113",
pages = "299--302",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
number = "4",

}

Do numbers extracted near crossovers represent continuum physics? / Bhanot, Gyan; Dashen, Roger.

In: Physics Letters B, Vol. 113, No. 4, 24.06.1982, p. 299-302.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Do numbers extracted near crossovers represent continuum physics?

AU - Bhanot, Gyan

AU - Dashen, Roger

PY - 1982/6/24

Y1 - 1982/6/24

N2 - We study the fundamental-adjoint SU(2) lattice gauge theory in four dimensions by Monte Carlo simulations. We show that the string tension at the endpoint of the first-order line is finite. The endpoint is therefore not a second-order critical point of the traditional variety. We also measure the lattice Λ parameter from simulations along a line close to this endpoint and find Λ = (3.0 ± 0.3) × 10-3 σ. This disagrees from previous measurements for the pure fundamental Wilson theory by a factor of 4. Our results cast serious doubt on all continuum limit estimates made near quasi-critical and crossover regions.

AB - We study the fundamental-adjoint SU(2) lattice gauge theory in four dimensions by Monte Carlo simulations. We show that the string tension at the endpoint of the first-order line is finite. The endpoint is therefore not a second-order critical point of the traditional variety. We also measure the lattice Λ parameter from simulations along a line close to this endpoint and find Λ = (3.0 ± 0.3) × 10-3 σ. This disagrees from previous measurements for the pure fundamental Wilson theory by a factor of 4. Our results cast serious doubt on all continuum limit estimates made near quasi-critical and crossover regions.

UR - http://www.scopus.com/inward/record.url?scp=0000384589&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000384589&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(82)90043-0

DO - 10.1016/0370-2693(82)90043-0

M3 - Article

AN - SCOPUS:0000384589

VL - 113

SP - 299

EP - 302

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4

ER -