Exploring Partially Confined Phases

Ogilvie, Michael C.; Myers, Joyce C.

doi:10.22323/1.042.0213

Cited by 11 publications

(16 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, 3 of the circles of the torus in the lattice calculation are large and so one might expect that the one remaining small circle plays the dominant role in determining the phase structure. 8 In addition, it seems that the phase diagram doesn't 7 More information on double trace deformations can be found in [30][31][32]. 8 We wish to thank Mithat Unsal for useful discussions on this topic.…”

Section: Comparison With Lattice Results Of Cossu and D'eliamentioning

confidence: 99%

Finite volume phases of large-Ngauge theories with massive adjoint fermions

Hollowood

Myers

2009

J. High Energy Phys.

View full text Add to dashboard Cite

Abstract:The phase structure of QCD-like gauge theories with fermions in various representations is an interesting but generally analytically intractable problem. One way to ensure weak coupling is to define the theory in a small finite volume, in this case S 3 × S 1 . Genuine phase transitions can then occur in the large N theory. Here, we use this technique to investigate SU(N ) gauge theory with a number N f of massive adjoint-valued Majorana fermions having non-thermal boundary conditions around S 1 . For N f = 1 we find a line of transitions that separate the weak-coupling analogues of the confined and de-confined phases for which the density of eigenvalues of the Wilson line transform from the uniform distribution to a gapped distribution. However, the situation for N f > 1 is much richer and a series of weak-coupling analogues of partially-confined phases appear which leave unbroken a Z p subgroup of the centre symmetry. In these Z p phases the eigenvalue density has p gaps and they are separated from the confining phase and from one-another by first order phase transitions. We show that for small enough mR (the mass of the fermions times the radius of the S 3 ) only the confined phase exists. The large N phase diagram is consistent with the finite N result and with other approaches based on R 3 × S 1 calculations and lattice simulations.

show abstract

Section: Comparison With Lattice Results Of Cossu and D'eliamentioning

confidence: 99%

Finite volume phases of large-Ngauge theories with massive adjoint fermions

Hollowood

Myers

2009

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…This construction also generalizes to other symmetry stabilizing double-trace operators [22]. Double-trace deformations have also been used in exploring partial center-symmetry breaking phases [51][52][53][54].…”

Section: Double-trace Deformations: Volume Independence Vs Adiabaticmentioning

confidence: 96%

New Nonperturbative Methods in Quantum Field Theory: From Large-NOrbifold Equivalence to Bions and Resurgence

Dunne

Ünsal

2016

Annu. Rev. Nucl. Part. Sci.

112

170

View full text Add to dashboard Cite

We present a broad conceptual introduction to some new ideas in non-perturbative QFT. The large-N orbifold-orientifold equivalence connects a natural large-N limit of QCD to QCD with adjoint fermions. QCD(adj) with periodic boundary conditions and double-trace deformation of Yang-Mills theory satisfy large-N volume independence, a type of orbifold equivalence. Certain QFTs that satisfy volume independence at N = ∞ exhibit adiabatic continuity at finite-N , and also become semi-classically calculable on small R 3 × S 1 . We discuss the role of monopole-instantons, and magnetic and neutral bion saddles in connection to mass gap, and center and chiral symmetry realizations. Neutral bions also provide a weak coupling semiclassical realization of infrared-renormalons. These considerations help motivate the necessity of complexification of path integrals (Picard-Lefschetz theory) in semi-classical analysis, and highlights the importance of hidden topological angles. Finally, we briefly review the resurgence program, which potentially provides a novel non-perturbative continuum definition of QFT. All these ideas are continuously connected.Keywords: large-N orbifold and orientifold equivalence, volume independence, double-trace deformations, adiabatic continuity, semi-classical calculability, magnetic and neutral bions, Picard-Lefschetz theory of path integration, and resurgence arXiv:1601.03414v1 [hep-th]

show abstract

“…For example, in SU (6), we can consider partial breaking of Z(6) to either Z(2) or Z (3). We have calculated the string tensions and 't Hooft loop surface tensions in the restored confined phase at high temperature [6].…”

Section: Discussionmentioning

confidence: 99%

“…For our analytical calculations in SU (4) we use again the one-loop effective potential to examine the possible occurrence of four different phases: the confined phase with full Z(4) symmetry, the deconfined phase, a partially-confined Z(2)-invariant phase, and a skewed phase similar to that of SU (3). However, only the deconfined phase and the Z(2) phase are predicted by our simple theoretical model.…”

Section: Su (4) Theorymentioning

confidence: 99%

“…Therefore for sufficiently negative h A , the confined phase may be restored above the normal h A = 0 deconfinement temperature. In the weak-coupling regime of high temperature we can calculate the effective potential, pressure, string tensions and 't Hooft loop surface tensions and examine their behavior in the restored confined phase resulting from the variation of h A (see also [3]). …”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

New Phases of Finite Temperature Gauge Theory from an Extended Action

Myers¹,

Ogilvie²

2008

Proceedings of the XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007)

Self Cite

View full text Add to dashboard Cite

We study the behavior of the order parameter, the phase diagram, and the thermodynamics of exotic phases of finite temperature gauge theory. Lattice simulations were performed in SU(3) and SU(4) with an adjoint Polyakov loop term added to the standard Wilson action. In SU(3), the pattern of Z(3) symmetry breaking in the new phase is distinct from the pattern observed in the deconfined phase. In SU(4), the Z(4) symmetry is spontaneously broken down to Z(2), representing a partially-confined phase. The existence of the new phases is confirmed in analytical calculations of the free energy based on high-temperature perturbation theory.

show abstract

Exploring Partially Confined Phases

Cited by 11 publications

References 13 publications

Finite volume phases of large-Ngauge theories with massive adjoint fermions

Finite volume phases of large-Ngauge theories with massive adjoint fermions

New Nonperturbative Methods in Quantum Field Theory: From Large-NOrbifold Equivalence to Bions and Resurgence

New Phases of Finite Temperature Gauge Theory from an Extended Action

Contact Info

Product

Resources

About