Running coupling and anomalous dimension of SU(3) gauge theory with adjoint fermions

Collaborators:

Thomas DeGrand (Colorado)
Yigal Shamir (Tel Aviv)
Benjamin Svetitsky (Tel Aviv)

Abstract:

We propose to measure the running coupling and pseudoscalar renormalization constant of the SU(3) gauge theory with two flavors of adjoint fermions on 12⁴ and 16⁴ lattices. This will be combined with data from smaller lattices to give the beta function and mass anomalous dimension of the theory, which is a technicolor candidate. The total time requested is 3.3 million Jpsi-equivalent core-hours on the Fermilab clusters.

Full proposal

Final results:

T. DeGrand, Y. Shamir, and B. Svetitsky, Near the sill of the conformal window: gauge theories with fermions in two-index representations, Phys. Rev. D 88 (2013) 054505 (arXiv:1307.2425 [hep-lat], July 2013).

T. DeGrand, Y. Shamir, and B. Svetitsky, Gauge theories with fermions in two-index representations, talk given by Y. Shamir at Lattice 2013, the 31st International Symposium on Lattice Field Theory, Mainz, Germany, July 2013, published in proceedings, Proc. Sci. (LATTICE 2013) 064 (arXiv:1310.2128 [hep-lat], October 2013).

For access to saved configurations (L = 16 only, SF boundary conditions) contact B. Svetitsky.

Time awarded:

2.52 M J/ψ-equivalent core-hours

Progress:

Date: 7 Jun 2012

Time allocation announced.

Date: 1 Jul 2012

Start of allocation period.

Date: 9 Dec 2012

Completed preliminary runs on smaller lattices, at other facilities.

Number of trajectories run for each (β,L):

(T)=Tel Aviv cluster (C)= Cy-Tera, Cyprus Institute

β	L=6	L=8	L=10	L=12
3.8		17.8k (C)	19.2k (C)	14.3k (C)
3.9	7.8k (T)*	19.3k (C)	25.6k (C)	19.3k (C)
4.0	22.6k (T)	10.5k (T)
4.1	26.2k (T)	18.5k (T)	25.6k (C)	16.4k (C)
4.5	16.0k (T)	9.0k (T)	12.8k (C)	9.6k (C)
5.0	17.0k (T)	8.0k (T)	12.8k (C)	32.0k (C)

* metastable

Date: 24 Dec 2012

Begin production runs on Ds:

β = 4.1, L = 16, 4 streams, each running on 512 cores.

Completed 28 Dec 2012: 4x3450 trajectories, 193k core-h total (= 257k J/ψ-equiv).

Date: 30 Dec 2012

β = 3.9, L = 16, 4 streams, each running on 512 cores.

Completed 10 Jan 2013: 4x6150 trajectories, 358k core-h total (= 476k J/ψ-equiv).
[added runs at UVT-BG/P --> total 4x8000 trajectories]
[adding runs at Stampede 13 Apr 2013]

Date: 22 Jan 2013

β = 3.8, L = 12, 4 streams, each running on 288 cores.
Continuing runs imported from Cy-Tera

Completed 12 Apr 2013: 4x10k trajectories (incl Cy-Tera), 147k core-h total on Ds (= 196k J/ψ equiv)

β = 3.9, L = 12, 4 streams, each running on 288 cores.
Continuing runs imported from Cy-Tera

Completed 10 Mar 2013: 4x15.8k trajectories (incl Cy-Tera), 201k core-h total on Ds (= 266k J/ψ equiv)
[adding runs at Stampede 13 Apr 2013]

β = 4.1, L = 12, 4 streams, each running on 288 cores.
Continuing runs imported from Cy-Tera

Completed 10 Feb 2013: 4x9k trajectories (incl Cy-Tera), 145k core-h total on Ds (= 193k J/ψ equiv)

Date: 26 Jan 2013

β = 3.8, L = 16, 4 streams, each running on 512 cores.
Continuing after 2000 traj tuning (Ds) + 3150 traj from UVT-BG/P.

Completed 17 Apr 2013: 4x11k trajectories (incl BG/P), 485k core-h total on Ds (= 645k J/ψ equiv)

Date: 5 Feb 2013

β = 3.8, L = 10, 4 streams, each running on 125 cores.
Continuing runs imported from Cy-Tera
β = 3.9, L = 10, 4 streams, each running on 125 cores.
Continuing runs imported from Cy-Tera
β = 4.1, L = 10, 4 streams, each running on 125 cores.
Continuing runs imported from Cy-Tera

Completed 10 Feb 2013: 4x8k, 4x9.6k, 4x9.6k trajectories (incl Cy-Tera), 47k core-h total on Ds (= 62k J/ψ equiv)

Date: 8 Mar 2013

β = 4.5, L = 16, 4 streams, each running on 512 cores.

Completed 12 Mar 2013: 4x2.7k trajectories, 143k core-h total on Ds (= 190k J/ψ equiv)

Date: 14 Mar 2013

β = 4.5, L = 12, 4 streams, each running on 288 cores.
Continuing runs imported from Cy-Tera

Completed 11 Apr 2013: 4x4.8k trajectories (incl Cy-Tera), 29k core-h total on Ds (= 38k J/ψ equiv)

Date: 17 Apr 2013

Allocation exhausted. Continuing selected runs at Stampede for added statistics.

Pertinent publications

[papers with Fermilab preprint numbers are based in part on computations carried out with USQCD allocations]

Press coverage:

A. Dubrow, Testing Technicolor Physics, 9 February 2011.

Papers:

1) SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis.
By Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky.
fermilab-pub-12-036-t [arXiv:1202.2675 [hep-lat]].
Phys.Rev. D85 (2012) 074506.

2) Mass anomalous dimension in sextet QCD.
By Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky.
fermilab-pub-12-031-t [arXiv:1201.0935 [hep-lat]].
Phys.Rev. D87 (2013) 074507.
3) Finite-size scaling tests for spectra in SU(3) lattice gauge theory coupled to 12 fundamental flavor fermions.
By Thomas DeGrand.
[arXiv:1109.1237 [hep-lat]].
Phys.Rev. D84 (2011) 116901.

4) Infrared fixed point in SU(2) gauge theory with adjoint fermions.
By Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky.
fermilab-pub-11-714-t [arXiv:1102.2843 [hep-lat]].
Phys.Rev. D83 (2011) 074507.

5) Improvement via hypercubic smearing in triplet and sextet QCD.
By Yigal Shamir, Benjamin Svetitsky, Evgeny Yurkovsky.
[arXiv:1012.2819 [hep-lat]].
Phys.Rev. D83 (2011) 097502.

6) Oblique correction in a walking lattice theory.
By Thomas DeGrand.
[arXiv:1006.3777 [hep-lat]].

7) Running coupling and mass anomalous dimension of SU(3) gauge theory with two flavors of symmetric-representation fermions.
By Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky.
[arXiv:1006.0707 [hep-lat]].
Phys.Rev. D82 (2010) 054503.

8) Metastable nonconfining states in SU(3) lattice gauge theory with sextet fermions.
By Olga Machtey, Benjamin Svetitsky.
[arXiv:0911.0886 [hep-lat]].
Phys.Rev. D81 (2010) 014501.

9) Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions.
By Thomas DeGrand.
[arXiv:0910.3072 [hep-lat]].
Phys.Rev. D80 (2009) 114507.

10) Remarks on lattice gauge theories with infrared-attractive fixed points.
By Thomas DeGrand, Anna Hasenfratz.
[arXiv:0906.1976 [hep-lat]].
Phys.Rev. D80 (2009) 034506.

11) Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions.
By Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky.
[arXiv:0812.1427 [hep-lat]].
Phys.Rev. D79 (2009) 034501.

12) Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions.
By Yigal Shamir, Benjamin Svetitsky, Thomas DeGrand.
[arXiv:0803.1707 [hep-lat]].
Phys.Rev. D78 (2008) 031502.

Conference talks:

1) Conformal or confining — results from lattice gauge theory for higher-representation gauge theories.
By Benjamin Svetitsky.
fermilab-conf-13-010-t [arXiv:1301.1877 [hep-lat]].
PoS ConfinementX (2013) 271.

2) Gauge theories with fermions in the two-index symmetric representation.
By Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky.
fermilab-conf-11-715-t [arXiv:1110.6845 [hep-lat]].
PoS LATTICE2011 (2011) 060.

3) Lattice studies of QCD-like theories with many fermionic degrees of freedom.
By Thomas DeGrand.
[arXiv:1010.4741 [hep-lat]].
Phil. Trans. R. Soc. A. 369 (2011) 2701.

4) Sextet QCD: slow running and the mass anomalous dimension.
By Benjamin Svetitsky, Yigal Shamir, Thomas DeGrand.
[arXiv:1010.3396 [hep-lat]].
PoS LATTICE2010 (2010) 072.

5) Lattice gauge theory in technicolor.
By Benjamin Svetitsky.
[arXiv:0901.2103 [hep-lat]].
Nucl.Phys. A827 (2009) 547C-549C.

6) Exploring the phase diagram of sextet QCD.
By Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky.
[arXiv:0809.2953 [hep-lat]].
PoS LATTICE2008 (2008) 063.

7) Nonperturbative infrared fixed point in sextet QCD.
By Benjamin Svetitsky, Yigal Shamir, Thomas DeGrand.
[arXiv:0809.2885 [hep-lat]].
PoS LATTICE2008 (2008) 062.