Mass Inequalities for Quantum Chromodynamics

Weingarten, D.

doi:10.1103/physrevlett.51.1830

Cited by 230 publications

(223 citation statements)

References 10 publications

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“…By contrast, the situation for scalar and pseudo-scalar correlators is quite different, as we will discuss better by looking at spatial correlation functions in the next subsection, and indicates that at this temperature we do not yet see evidence of the restoration of the U(1) A symmetry. Notice that the correlation functions still satisfy the Weingarten's mass inequalities [59].…”

Section: Temporal Correlation Functionsmentioning

confidence: 99%

Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Lee

Lucini

Piai

2017

J. High Energ. Phys.

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We consider the SU(2) gauge theory with N f = 2 flavors of Dirac fundamental fermions. We study the high-temperature behavior of the spectra of mesons, discretizing the theory on anisotropic lattices, and measuring the two-point correlation functions in the temporal direction as well as screening masses in various channels. We identify the (pseudo-)critical temperature as the temperature at which the susceptibility associated with the Polyakov loop has a maximum. At high temperature both the spin-1 and spin-0 sectors of the light meson spectra exhibit enhanced symmetry properties, indicating the restoration of both the global SU(4) and the axial U(1) A symmetries of the model.

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Section: Temporal Correlation Functionsmentioning

confidence: 99%

Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Lee

Lucini

Piai

2017

J. High Energ. Phys.

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“…We observe that above the critical temperature the measured Ps and V effective masses change their order and increase ∝ T , feature shared with the "free" mesons. The inversion in the order of the masses essentially implies that the propagators are not dominated by a narrow state (compare [25]), however not every wide spectral function leads to this inversion, therefore this similarity may have significance. After we tuned the free quarks to simulate the (full) data in the ρ channel, the pseudo-scalar remains, however, still well below the "free" results (a similar observation has been made in [7]).…”

Section: Effective Mass Of Ee-pp Propagators At Nonzero Tmentioning

confidence: 99%

Meson correlators in finite temperature lattice QCD

et al. 2001

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We analyze temporal and spatial meson correlators in quenched lattice QCD at T ≥ 0. Below T c we observe little change in the meson properties as compared with T = 0. Above T c we observe new features: chiral symmetry restoration and signals of plasma formation, but also indication of persisting "mesonic" (metastable) states and different temporal and spatial "masses" in the mesonic channels. This suggests a complex picture of QGP in the region 1 − 1.5 T c .

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“…Likewise one can show that naive hopping yields a repulsive interaction for the vector channel (spin wave function: ↑↓ + ↓↑), i.e. despite all approximations, the Weingarten inequality [16] is satisfied for our model.…”

Section: A Solutions Withmentioning

confidence: 99%

Light-front QCD with Wilson fermions on a transverse lattice

Burkardt

El‐Khozondar

1999

Phys. Rev. D

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In the light-front formulation of field theory, it is possible to write down a chirally invariant mass term. It thus appears as if one could solve the species doubling problem on a lightfront quantized transverse lattice in a chirally invariant way. However, upon introducing link fields and after renormalizing, one finds exactly the same LF Hamiltonian as if one had started from the standard Wilson action in the first place. The (light-front) chirally invariant transverse lattice regularization is thus not chirally invariant in the conventional sense. As an application of the Wilson formulation for fermions on a ⊥ lattice, we calculate spectrum, distribution functions and distribution amplitudes for mesons below 2GeV in a truncated Fock space.

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Mass Inequalities for Quantum Chromodynamics

Cited by 230 publications

References 10 publications

Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Meson correlators in finite temperature lattice QCD

Light-front QCD with Wilson fermions on a transverse lattice

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