Finite size phase transitions in QCD with adjoint fermions

Abstract

We perform a lattice investigation of QCD with three colors and 2 flavors of Dirac (staggered) fermions in the adjoint representation, defined on a 4d space with one spatial dimension compactified, and study the phase structure of the theory as a function of the size Lc of the compactified dimension. We show that four different phases take place, corresponding to different realizations of center symmetry: two center symmetric phases, for large or small values of Lc, separated by two phases in which center symmetry is broken in two different ways; the dependence of these results on the quark mass is discussed. We study also chiral properties and how they are affected by the different realizations of center symmetry; chiral symmetry, in particular, stays spontaneously broken at the phase transitions and may be restored at much lower values of the compactification radius. Our results could be relevant to a recently proposed conjecture of volume indepedence of QCD with adjoint fermions in the large Nc limit.

9 pages, 12 figures; extended discussion about the chiral limit and the chiral properties; 2 figures and references added

References in corpus (17)

• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Volume independence in large Nc QCD-like gauge theories
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• Deconfinement and Chiral Symmetry Restoration in an SU(3) Gauge Theory with Adjoint Fermions
• SUSY Relics in One-Flavor QCD from a New 1/N Expansion
• Dual quark condensate and dressed Polyakov loops
• (In)validity of large N orientifold equivalence
• New Phases of SU(3) and SU(4) at Finite Temperature
• Phase diagrams of SU(N) gauge theories with fermions in various representations
• Scaling and Goldstone effects in a QCD with two flavours of adjoint quarks
• QCD with one compact spatial dimension
• Large-N volume reduction of lattice QCD with adjoint Wilson fermions at weak-coupling
• Baryon currents in QCD with compact dimensions
• Can fermions save large N dimensional reduction?
• Monopole condensation in two-flavour Adjoint QCD
• Discrete symmetry breaking and baryon currents in U(N) and SU(N) gauge theories

Cited by in corpus (72)

• SU(N) gauge theories at large N
• The infrared dynamics of Minimal Walking Technicolor
• New Methods in QFT and QCD: From Large-N Orbifold Equivalence to Bions and Resurgence
• Anomaly and global inconsistency matching: $\theta$-angles, $SU(3)/U(1{)}^2$ nonlinear sigma model, $SU(3)$ chains and its generalizations
• Conformality or confinement: (IR)relevance of topological excitations
• Circle compactification and 't Hooft anomaly
• Neutral bions in the $\mathbb{C}{P}^{N-1}$ model
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• The infrared regime of SU(2) with one adjoint Dirac flavour
• Large-N volume independence in conformal and confining gauge theories
• Polyakov loops and the Hosotani mechanism on the lattice
• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
• Large-N reduction in QCD-like theories with massive adjoint fermions
• QCD on a small circle
• Non-perturbative volume-reduction of large-N QCD with adjoint fermions
• Introductory lectures to large-N QCD phenomenology and lattice results
• Large N Volume Independence and an Emergent Fermionic Symmetry
• Fractional $\theta$ angle, 't Hooft anomaly, and quantum instantons in charge-$q$ multi-flavor Schwinger model
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Quantum Distillation of Hilbert Spaces, Semi-classics and Anomaly Matching
• Chiral gauge dynamics and dynamical supersymmetry breaking
• Near the sill of the conformal window: gauge theories with fermions in two-index representations
• Differences and similarities between fundamental and adjoint matters in SU(N) gauge theories
• Finite Volume Phases of Large N Gauge Theories with Massive Adjoint Fermions
• Effect of Light Fermions on the Confinement Transition in QCD-like Theories
• $\theta$ dependence in trace deformed $SU(3)$ Yang-Mills theory: a lattice study
• Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition
• Large-N reduction of SU(N) Yang-Mills theory with massive adjoint overlap fermions
• A lattice QCD study of generalized gluelumps
• String Tension Scaling in High-Temperature Confined SU(N) Gauge Theories
• Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills
• k-String Tension from Eguchi-Kawai Reduction
• Anderson Localization in high temperature QCD: background configuration properties and Dirac eigenmodes
• From 3d dualities to hadron physics
• Fractional instanton of the SU($3$) gauge theory in weak coupling regime
• $\theta$-dependence and center symmetry in Yang-Mills theories
• A PNJL Model for Adjoint Fermions with Periodic Boundary Conditions
• Adjoint fermion zero-modes for SU(N) calorons
• String tensions in deformed Yang-Mills theory
• Critical behavior of gauge theories and Coulomb gases in three and four dimensions
• Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited
• Bose-Fermi Degeneracies in Large $N$ Adjoint QCD
• Bose-Fermi cancellations without supersymmetry
• Vacuum structure of Yang-Mills theory as a function of $\theta$
• Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice
• Comments on large-N volume independence
• Dihedral symmetry in $SU(N)$ Yang-Mills theory
• Classification of compactified $su(N_c)$ gauge theories with fermions in all representations
• Investigating the conformal behaviour of SU(2) with one adjoint Dirac flavor
• Numerical computation of the beta function of large N SU(N) gauge theory coupled to an adjoint Dirac fermion
• Extra-dimensional models on the lattice
• Recent results in large-N lattice gauge theories
• Deconfinement transitions of large N QCD with chemical potential at weak and strong coupling
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Partial breakdown of center symmetry in large-N QCD with adjoint Wilson fermions
• QCD in magnetic field, Landau levels and double-life of unbroken center-symmetry
• Phases of circle-compactified QCD with adjoint fermions at finite density
• Spectrum of Trace Deformed Yang-Mills Theories
• Phase structure of pure SU(3) lattice gauge theory in 5 dimensions
• Quark Confinement and the Renormalization Group
• UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
• On the phase structure of extra-dimensional gauge theories with fermions
• Witten index and phase diagram of compactified N=1 supersymmetric Yang-Mills theory on the lattice
• Graded Hilbert spaces, quantum distillation and connecting SQCD to QCD
• Large $N$ scaling and factorization in SU($N$) Yang-Mills gauge theory
• Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories
• Confinement on $R^3\times S^1$: continuum and lattice
• PNJL model for adjoint fermions
• Phase structure and Hosotani mechanism in QCD-like theory with compact dimensions
• Phase diagram of adjoint QCD at weak coupling and finite volume