Unphysical properties of the static quark-antiquark four-point correlator in Landau gauge

Greensite, Jeff; Owen, Evan

doi:10.1103/PhysRevD.99.014506

Title: Unphysical properties of the static quark-antiquark four-point correlator in Landau gauge

Abstract

We consider the four point connected correlator representing a static quark-antiquark pair separated by a spatial distance $R$ , propagating for a Euclidean time $T$ . This function is computed by lattice Monte Carlo in SU(2) pure gauge theory at lattice couplings $β = 2.2$ and $β = 2.5$ in both Coulomb and Landau gauges. The Coulomb gauge correlator is well behaved, and is dominated at large $T$ by a state whose energy grows linearly as $σ R$ , with $σ$ the known asymptotic string tension. The connected correlator in Landau gauge behaves differently. At intermediate $R$ there is clear evidence of a linear potential, but the corresponding string tension extrapolates to zero at large $T$ . At large $R$ the connected correlator becomes negative; moreover there are strong finite size effects. These numerical results suggest that unphysical states dominate the large Euclidean time behavior of this Landau gauge correlator.

Authors:: Greensite, Jeff; Owen, Evan

Publication Date:: Mon Jan 14 00:00:00 EST 2019

Research Org.:: San Francisco State Univ., CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1490775

Alternate Identifier(s):: OSTI ID: 1631276; OSTI ID: 1862027

Grant/Contract Number:: SC0013682

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 99 Journal Issue: 1; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Bethe-Salpeter equation; Color confinement; Lattice field theory; Nonperturbative effects in field theory; Quantum field theory

Citation Formats


                    Greensite, Jeff, and Owen, Evan. Unphysical properties of the static quark-antiquark four-point correlator in Landau gauge.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.014506.

Copy to clipboard


                    Greensite, Jeff, & Owen, Evan. Unphysical properties of the static quark-antiquark four-point correlator in Landau gauge.  United States.  https://doi.org/10.1103/PhysRevD.99.014506

Copy to clipboard


                    Greensite, Jeff, and Owen, Evan. Mon .  
"Unphysical properties of the static quark-antiquark four-point correlator in Landau gauge".  United States.  https://doi.org/10.1103/PhysRevD.99.014506.

Copy to clipboard


                    
@article{osti_1490775,

  title        = {Unphysical properties of the static quark-antiquark four-point correlator in Landau gauge},

  author       = {Greensite, Jeff and Owen, Evan},

  abstractNote = {We consider the four point connected correlator representing a static quark-antiquark pair separated by a spatial distance R, propagating for a Euclidean time T. This function is computed by lattice Monte Carlo in SU(2) pure gauge theory at lattice couplings β=2.2 and β=2.5 in both Coulomb and Landau gauges. The Coulomb gauge correlator is well behaved, and is dominated at large T by a state whose energy grows linearly as σR, with σ the known asymptotic string tension. The connected correlator in Landau gauge behaves differently. At intermediate R there is clear evidence of a linear potential, but the corresponding string tension extrapolates to zero at large T. At large R the connected correlator becomes negative; moreover there are strong finite size effects. These numerical results suggest that unphysical states dominate the large Euclidean time behavior of this Landau gauge correlator.},

  doi          = {10.1103/PhysRevD.99.014506},

  journal      = {Physical Review. D.},

  number       = 1,

  volume       = 99,

  place        = {United States},

  year         = {Mon Jan 14 00:00:00 EST 2019},

  month        = {Mon Jan 14 00:00:00 EST 2019}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.99.014506

Other availability

Search WorldCat to find libraries that may hold this journal