Article
Physics, Multidisciplinary
Duifje Maria van Egmond, Urko Reinosa, Julien Serreau, Matthieu Tissier
Summary: We propose a novel approach for studying the confinement-deconfinement transition in Yang-Mills theories by using a background-field generalisation of the Landau gauge. We demonstrate that the electric susceptibility diverges at a second order transition in this gauge, making the gluon propagator a clear probe of the transition. By implementing our method in the Curci-Ferrari model, we obtain transition temperatures that are in excellent agreement with lattice values.
Article
Astronomy & Astrophysics
Shirley Weishi Li, Peter Lowdon, Orlando Oliveira, Paulo J. Silva
Summary: The existence of BRST symmetry in non-perturbative QCD imposes constraints on the ghost and gluon spectra, but this interconnection is violated in actual data, indicating that continuum and current lattice formulations in Landau gauge represent two distinct realisations of Yang-Mills theory.
Article
Physics, Multidisciplinary
Shu Nakamura, Kouichi Taira
Summary: We present a simplified proof of the essential self-adjointness for formally self-adjoint differential operators of real principal type with the null non-trapping condition, which was previously proved by Vasy (J Spectr Theory 10: 439-461, 2020) and Nakamura-Taira (Ann Henri Lebesgue 4: 1035-1059, 2021). We focus on second-order cases, specifically Klein-Gordon-type operators.
ANNALES HENRI POINCARE
(2023)
Article
Astronomy & Astrophysics
Fabio Siringo, Giorgio Comitini
Summary: The gluon propagator's analytic continuation is revised to consider the possible existence of complex conjugated poles. The anomalous pole's contribution must be added when Wick rotating, which results in an effective Minkowskian propagator not obtained by simply continuing the Euclidean function. The effective propagator is represented by an integral of a spectral function naturally related to elementary (complex) eigenvalues of the Hamiltonian, thereby generalizing the Kallen-Lehmann description. A simple toy model demonstrates how the elementary eigenvalues might correspond to physical quasiparticles in the nonperturbative vacuum.
Article
Astronomy & Astrophysics
A. C. Aguilar, M. N. Ferreira, J. Papavassiliou
Summary: This study presents a detailed derivation of the non-Abelian Ward identity obeyed by the pole-free part of the three-gluon vertex in the soft gluon limit, and determines the displacement that the onset of the Schwinger mechanism produces to the standard result. The results obtained through two independent methods are in excellent coincidence, providing a self-consistency check for the entire approach. The statistical significance of the resulting signal is estimated to be 3 standard deviations compared to the null hypothesis.
Article
Physics, Multidisciplinary
Yi Yang, Wai Bong Yeung
Summary: This study demonstrates that the asymmetry between matter and antimatter in the current universe is primarily caused by the significantly suppressed chance of detecting primordial antimatter, which is a direct outcome of the Dirac-Feynman-Stueckelberg interpretation of antimatter and the highly time-asymmetric expansion of the early universe.
CHINESE JOURNAL OF PHYSICS
(2022)
Article
Astronomy & Astrophysics
Alexandre F. Falcao, Orlando Oliveira
Summary: The analytic structure of two flavorful QCD lattice Landau gauge quark propagators is examined using Pade approximants, which indicate the absence of complex momentum poles for the propagator. However, a real on-axis negative Euclidean momentum pole is observed, indicative of an effective quark mass. This pole is consistent with phenomenological effective quark models and shows a correlation with the pion mass. Slight differences between the poles for the two quark form factors suggest either a limitation of the method or the absence of a spectral representation for the quark propagator.
Article
Physics, Particles & Fields
E. J. Ferrer, V. de la Incera
Summary: This paper investigates the propagation of electromagnetic radiation in the magnetic dual chiral density wave (MDCDW) phase of dense quark matter. It shows that linearly polarized photons couple with the fluctuation field in the MDCDW medium to produce two modes of propagation called axion polaritons, with one mode being gapless and the other gapped. The generation of axion polaritons is attributed to the presence of the chiral anomaly in the low-energy theory. It is suggested that axion polaritons can be generated inside quark stars bombarded by energetic photons, providing a possible explanation for the missing pulsar paradox in the galaxy center.
Article
Astronomy & Astrophysics
Yun Guo, Zhenpeng Kuang
Summary: Based on the Dyson-Schwinger equation, the resummed gluon propagator in a holonomous plasma was computed, revealing distinct behaviors between diagonal and off-diagonal gluons. The results also showed a weaker screening effect and deeper heavy-quark potential in a holonomous plasma compared to the perturbative quark-gluon plasma, leading to tighter binding of quarkonium states. Additionally, the temperature dependence of the screening masses showed similar trends as observed in lattice simulations.
Article
Astronomy & Astrophysics
James C. Biddle, Waseem Kamlehe, Derek B. Leinweber
Summary: This study identifies center vortices for the first time on SU(3) lattice ensembles with dynamical fermions. By using a variational method, the static quark potential is calculated on different field configurations, including untouched, vortex-removed, and vortex-only fields. The impact of dynamical fermions on the center-vortex vacuum is explored by studying two dynamical ensembles and one pure gauge ensemble. Novel modifications to the standard Coulomb term are introduced to improve the accuracy of the fitted string tension on the original ensembles. The results show that the vortex-only fields on both dynamical ensembles can fully reproduce the respective untouched string tensions.
Article
Mathematics
Shiliang Zhao, Quan Zheng
Summary: In this paper, the boundedness and joint continuity of the integral kernel of e(-it(-Delta+V)) is proven for a class of potentials that do not need to be smooth. This result partially affirms Simon's conjecture. A short time asymptotic estimate for the integral kernel of e(-it(Delta+V)) is also provided. Moreover, when V belongs to Schwartz function classes, e(-it((-Delta)lambda/2) +V) can be expressed as Fourier integral operators and expansions of the symbols are given.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2022)
Article
Physics, Multidisciplinary
Bruno Scheihing-Hitschfeld, Xiaojun Yao
Summary: Many transport coefficients of the quark-gluon plasma and nuclear structure functions can be expressed as gauge invariant correlation functions. The axial gauge n·A = 0 is discussed for calculating them, and the issues arising from trivializing the Wilson lines in correlation functions by gauge fixing are addressed. It is found that it is always impossible to completely remove the gauge fields n·A in Wilson lines that extend to infinity in the n direction by means of gauge transformations. The results explain the differences between two correlators defining transport coefficients and elucidate the discrepancies between two inequivalent gluon parton distribution functions.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Urko Reinosa, Julien Serreau, Rodrigo Carmo Terin, Matthieu Tissier
Summary: By summing over all Gribov copies with some weight function, we propose a gauge-fixing procedure that overcomes the Gribov ambiguity in the Landau gauge. This approach involves a local field theory with constrained, nonlinear sigma model fields. A phenomenon of radiative symmetry restoration occurs in this theory, leading to a nonzero gluon screening mass as observed in lattice simulations.
Article
Astronomy & Astrophysics
Steffen Pottel, Klaus Sibold
Summary: In a perturbative approach, Einstein-Hilbert gravity is quantized around a flat background. Higher order curvature terms are added to the action to render the model power counting renormalizable. Renormalization is performed within the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein scheme, providing the action principle to construct the Slavnov-Taylor identity and invariant differential operators.
Article
Physics, Nuclear
Allan Tameshtit
Summary: In this paper, we investigate the sign property of the interacting Feynman propagator in scalar electrodynamics, and find that it may depend on the reversibility of time evolution. The positive semidenite sign is generally lost under the weak coupling approximation, but can be recovered by restricting the test functions under certain conditions using the rotating wave approximation.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2022)
