Scaling and Goldstone effects in a QCD with two flavours of adjoint quarks

Engels, Jürgen; Holtmann, Sven; Schulze, Thomas G.

doi:10.1016/j.nuclphysb.2005.06.029

Cited by 60 publications

(109 citation statements)

References 33 publications

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“…This behavior has also been found in QCD with adjoint quarks, i.e. ψ ψ ∼ c 0 + c 1 (m l /T ) 1/2 [17,18]. Our current analysis of the quark mass dependence of the chiral condensate is not yet accurate enough and has not yet been performed at small enough quark masses to verify this behavior explicitly.…”

Section: Finite Temperature Simulationsmentioning

confidence: 63%

“…For this purpose we monitor the value of the kaon mass and the strange pseudo-scalar 2 , m ss . In the continuum limit the physical point is then given as (m ps r 0 , m K r 0 ) = (0.321(5), 1.177 (18)) where the error reflects the uncertainty in r 0 [13]. At this point the strange pseudo-scalar in units of r 0 is given by m ss r 0 = 1.631 (24).…”

Section: B the Physical Pointmentioning

confidence: 99%

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Transition temperature in QCD

et al. 2006

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We present a detailed calculation of the transition temperature in QCD with two light and one heavier (strange) quark mass on lattices with temporal extent Nτ = 4 and 6. Calculations with improved staggered fermions have been performed for various light to strange quark mass ratios in the range, 0.05 ≤m l /ms ≤ 0.5, and with a strange quark mass fixed close to its physical value. From a combined extrapolation to the chiral (m l → 0) and continuum (aT ≡ 1/Nτ → 0) limits we find for the transition temperature at the physical point Tcr0 = 0.457(7) where the scale is set by the Sommer-scale parameter r0 defined as the distance in the static quark potential at which the slope takes on the value, (dVqq(r)/dr) r=r 0 = 1.65/r 2 0 . Using the currently best known value for r0 this translates to a transition temperature Tc = 192(7)(4) MeV. The transition temperature in the chiral limit is about 3% smaller. We discuss current ambiguities in the determination of Tc in physical units and also comment on the universal scaling behavior of thermodynamic quantities in the chiral limit.

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Section: Finite Temperature Simulationsmentioning

confidence: 63%

Section: B the Physical Pointmentioning

confidence: 99%

Transition temperature in QCD

et al. 2006

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“…In the case of adjoint fermions, lattice simulations have shown that chiral symmetry is restored at a substantially higher temperature than the deconfinement temperature, with the ratio of critical temperatures T c /T d around 7.8 [82,83].…”

Section: Connection Of Chiral Symmetry Breaking and Confinementmentioning

confidence: 99%

Phases of gauge theories

Ogilvie¹

2012

J. Phys. A: Math. Theor.

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One of the most fundamental questions we can ask about a given gauge theory is its phase diagram. In the standard model, we observe three fundamentally different types of behavior: QCD is in a confined phase at zero temperature, while the electroweak sector of the standard model combines Coulomb and Higgs phases. Our current understanding of the phase structure of gauge theories owes much to the modern theory of phase transitions and critical phenomena, but has developed into a subject of extensive study. After reviewing some fundamental concepts of phase transitions and finite-temperature gauge theories, we discuss some recent work that broadly extends our knowledge of the mechanisms that determine the phase structure of gauge theories. A new class of models with a rich phase structure has been discovered, generalizing our understanding of the confinement-deconfinement transition in finite-temperature gauge theories. Models in this class have space-time topologies with one or more compact directions. On R 3 ×S 1 , the addition of double-trace deformations or periodic adjoint fermions to a gauge theory can yield a confined phase in the region where the S 1 circumference L is small, so that the coupling constant is small, and semiclassical methods are applicable. In this region, Euclidean monopole solutions, which are constituents of finite-temperature instantons, play a crucial role in the calculation of a non-perturbative string tension. We review the techniques use to analyze this new class of models and the results obtained so far, as well as their application to finite-temperature phase structure, conformal phases of gauge theories and the large-N

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“…Such groups are formed by diagrams (7-11), (12)(13), (14)(15)(16)(17)(18), (19)(20), (21)(22)(23) in Fig.2, diagrams (3-7), (8)(9), (10)(11)19) in Fig.4 and diagrams (1-2), (3-4) in Fig.5.…”

Section: Computation and Resultsmentioning

confidence: 99%

Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice

Skouroupathis

Panagopoulos

2007

Phys. Rev. D

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We compute the two-loop renormalization functions, in the RI ′ scheme, of local bilinear quark operatorsψΓψ, where Γ denotes the Scalar and Pseudoscalar Dirac matrices, in the lattice formulation of QCD. We consider both the flavor non-singlet and singlet operators; the latter, in the scalar case, leads directly to the two-loop fermion mass renormalization, Z m .As a prerequisite for the above, we also compute the quark field renormalization, Z ψ , up to two loops.We use the clover action for fermions and the Wilson action for gluons. Our results are given as a polynomial in c SW , in terms of both the renormalized and bare coupling constant, in the renormalized Feynman gauge. We also confirm the 1-loop renormalization functions, for generic gauge.Finally, we present our results in the M S scheme, for easier comparison with calculations in the continuum.The corresponding results, for fermions in an arbitrary representation, are included in an Appendix.

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Scaling and Goldstone effects in a QCD with two flavours of adjoint quarks

Cited by 60 publications

References 33 publications

Transition temperature in QCD

Transition temperature in QCD

Phases of gauge theories

Two-loop renormalization of scalar and pseudoscalar fermion bilinears on the lattice

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