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Title: Thermodynamics of lattice QCD with 3 flavors of color-sextet quarks. II. $$N_t = 6$$ and $$N_t = 8$$

Abstract

Here, we have been studying QCD with two flavors of color-sextet quarks as a candidate walking-technicolor theory using lattice-QCD simulations. The evolution of the coupling constant with lattice spacing is measured at the finite-temperature chiral transition to determine if this theory is asymptotically free and hence QCD-like. The lattice spacing is varied by changing the number of lattice sites, $$N_t$$, in the Euclidean time direction. QCD with three flavors is studied for comparison. Since this theory is expected to be conformal, with an infrared fixed point, the coupling constant at the chiral transition should approach a nonzero value as $$N_t$$ becomes large. Our earlier simulations on lattices with $$N_t = 4$$ and $$N_t = 6$$ exhibited a significant decrease in coupling at the chiral transition as $$N_t$$ was increased. We have now extended these simulations to $$N_t = 8$$, and performed additional simulations at $$N_t = 6$$ to measure the coupling constant at the chiral transition more precisely. These indicate that while there is an appreciable decrease in coupling between $$N_t = 6$$ and $$N_t = 8$$, this is much smaller than that between $$N_t = 4$$ and $$N_t = 6$$. Thus we are hopeful that we are approaching the large- $$N_t$$ limit. However, further simulations at larger $$N_t(s)$$ are needed.

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Dept. of Energy (DOE), Washington DC (United States). Division of High Energy Physics; Univ. of Maryland, College Park, MD (United States). Dept. of Physics
  2. Argonne National Lab. (ANL), Argonne, IL (United States). HEP Division
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1529970
Grant/Contract Number:  
AC02-06CH11357; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 90; Journal Issue: 1; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Kogut, J. B., and Sinclair, D. K. Thermodynamics of lattice QCD with 3 flavors of color-sextet quarks. II. $N_t = 6$ and $N_t = 8$. United States: N. p., 2014. Web. doi:10.1103/PhysRevD.90.014506.
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Kogut, J. B., & Sinclair, D. K. Thermodynamics of lattice QCD with 3 flavors of color-sextet quarks. II. $N_t = 6$ and $N_t = 8$. United States. https://doi.org/10.1103/PhysRevD.90.014506
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Kogut, J. B., and Sinclair, D. K. Tue . "Thermodynamics of lattice QCD with 3 flavors of color-sextet quarks. II. $N_t = 6$ and $N_t = 8$". United States. https://doi.org/10.1103/PhysRevD.90.014506. https://www.osti.gov/servlets/purl/1529970.
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@article{osti_1529970,
title = {Thermodynamics of lattice QCD with 3 flavors of color-sextet quarks. II. $N_t = 6$ and $N_t = 8$},
author = {Kogut, J. B. and Sinclair, D. K.},
abstractNote = {Here, we have been studying QCD with two flavors of color-sextet quarks as a candidate walking-technicolor theory using lattice-QCD simulations. The evolution of the coupling constant with lattice spacing is measured at the finite-temperature chiral transition to determine if this theory is asymptotically free and hence QCD-like. The lattice spacing is varied by changing the number of lattice sites, $N_t$, in the Euclidean time direction. QCD with three flavors is studied for comparison. Since this theory is expected to be conformal, with an infrared fixed point, the coupling constant at the chiral transition should approach a nonzero value as $N_t$ becomes large. Our earlier simulations on lattices with $N_t = 4$ and $N_t = 6$ exhibited a significant decrease in coupling at the chiral transition as $N_t$ was increased. We have now extended these simulations to $N_t = 8$, and performed additional simulations at $N_t = 6$ to measure the coupling constant at the chiral transition more precisely. These indicate that while there is an appreciable decrease in coupling between $N_t = 6$ and $N_t = 8$, this is much smaller than that between $N_t = 4$ and $N_t = 6$. Thus we are hopeful that we are approaching the large- $N_t$ limit. However, further simulations at larger $N_t(s)$ are needed.},
doi = {10.1103/PhysRevD.90.014506},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 1,
volume = 90,
place = {United States},
year = {Tue Jul 15 00:00:00 EDT 2014},
month = {Tue Jul 15 00:00:00 EDT 2014}
}
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https://doi.org/10.1103/PhysRevD.90.014506
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