High Energy Physics  Lattice
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New submissions for Thu, 25 Nov 21
 [1] arXiv:2111.12120 [pdf, other]

Title: Renormalization constants of quark bilinear operators in QCD with dynamical up, down, strange and charm quarksAuthors: Matteo Di Carlo, Martha Constantinou, Petros Dimopoulos, Roberto Frezzotti (for the Extended Twisted Mass Collaboration (ETMC))Comments: 10 pages, 6 figures, 3 tables. Talk given at the 38th International Symposium on Lattice Field Theory (LATTICE2021)Journalref: PoS(LATTICE2021)399Subjects: High Energy Physics  Lattice (heplat)
We present preliminary results of a calculation of the QCD renormalization constants (RCs) for quark bilinear operators, evaluated nonperturbatively on the lattice in the RI'MOM scheme. The calculation is performed by using dedicated ensembles with $N_f=4$ degenerate dynamical twisted mass (clover) fermions and the Iwasaki gauge action. A detailed analysis is reported, with emphasis on the control or subtraction of the hadronic contaminations occurring in the lattice estimators of RCs and a check of proper scaling with $a^2$ of the final results. Such a careful study of systematic errors is the counterpart of the high statistical precision reached by current calculations of RCs in the RI'MOM scheme and is important in order to quote accurate results in phenomenological applications, such as the computation of quark masses.
 [2] arXiv:2111.12125 [pdf, other]

Title: Sp(4) gauge theories and beyond the standard modelphysicsAuthors: Biagio Lucini, Ed Bennett, Jack Holligan, Deog Ki Hong, Ho Hsiao, JongWan Lee, C.J. David Lin, Michele Mesiti, Maurizio Piai, Davide VadacchinoComments: 8 pages, 4 figures, contribution to the proceedings of A Virtual Tribute to Quark Confinement and the Hadron Spectrum (vConf21), August 2nd6th 2021Subjects: High Energy Physics  Lattice (heplat); High Energy Physics  Phenomenology (hepph); High Energy Physics  Theory (hepth)
We review numerical results for models with gauge group Sp(2N), discussing the glueball spectrum in the largeN limit, the quenched meson spectrum of Sp(4) with Dirac fermions in the fundamental and in the antisymmetric representation and the Sp(4) gauge model with two dynamical Dirac flavours. We also present preliminary results for the meson spectrum in the Sp(4) gauge theory with two fundamental and three antisymmetric Dirac flavours. The main motivation of our programme is to test whether this latter model is viable as a realisation of Higgs compositeness via the pseudo Nambu Goldstone mechanism and at the same time can provide partial top compositeness. In this respect, we report and briefly discuss preliminary results for the mass of the composite baryon made with two fundamental and one antisymmetric fermion (chimera baryon), whose physical properties are highly constrained if partial top compositeness is at work. Our investigation shows that a fully nonperturbative study of Higgs compositeness and partial top compositeness in Sp(4) is within reach with our current lattice methodology.
 [3] arXiv:2111.12462 [pdf, other]

Title: Continuum extrapolation of the gradientflowed colormagnetic correlator at $1.5\,T_c$Comments: 7 pages, 4 figures, presented at the 38th International Symposium on Lattice Field TheorySubjects: High Energy Physics  Lattice (heplat)
In a recently published work we employ gradient flow on the lattice to extract the leading contribution of the heavy quark momentum diffusion coefficient in the heavy quark limit from calculations of a wellknown twopoint function of colorelectric field operators. In this article we want to report the progress of calculating the recently derived colormagnetic correlator that encodes a finite mass correction to this transport coefficient. The calculations we present here are based on the same ensemble of quenched gauge configurations at $1.5\, T_c$ that we previously used for the colorelectric correlator.
 [4] arXiv:2111.12599 [pdf, other]

Title: The Chiral Phase Transition in 3flavor QCD from Lattice QCDAuthors: Lorenzo Dini, Prasad Hegde, Frithjof Karsch, Anirban Lahiri, Christian Schmidt, Sipaz SharmaComments: 12 pages, 11 figuresSubjects: High Energy Physics  Lattice (heplat)
We analyze the pseudocritical behavior of 3flavor QCD using highly improved staggered quarks (HISQ) on lattices with temporal extent $N_\tau =8$ and for quark masses corresponding to a pseudoscalar Goldstone mass in the range $80 ~ {\rm MeV} ~ \lesssim ~ m_\pi ~ \lesssim ~ 140 ~ {\rm MeV}$. Our findings are consistent with the occurrence of a second order chiral phase transition at vanishing values of the quark masses. The chiral phase transition temperature at this finite value of the lattice spacing is determined to be $T_c = 98_{6}^{+3}~{\rm MeV}$. A comparison with a corresponding analysis performed in (2+1)flavor QCD suggests that the continuum limit extrapolated chiral phase transition temperature in 3flavor QCD will turn out to be below $90 ~ {\rm MeV}$.
 [5] arXiv:2111.12645 [pdf, other]

Title: Searching for YangLee zeros in O($N$) modelsComments: 8 pages, 8 figures. Talk at 38th international Lattice conference 2021 online Zoom/Gather @ MIT, USASubjects: High Energy Physics  Lattice (heplat)
Near the second order phase transition point, QCD with two flavours of massless quarks can be approximated by an O($4$) model, where a symmetry breaking external field $H$ can be added to play the role of quark mass. The LeeYang theorem states that the equation of state in this model has a branch cut along the imaginary $H$ axis for $Im[H]>H_c$, where $H_c$ indicates a second order critical point. This point, known as LeeYang edge singularity, is of importance to the thermodynamics of the system. We report here on ongoing work to determine the location of $H_c$ via complex Langevin simulations.
 [6] arXiv:2111.12695 [pdf, other]

Title: One Flavour QCD as an analogue computer for SUSYAuthors: Michele Della Morte, Benjamin Jäger, Francesco Sannino, J. Tobias Tsang, Felix P.G. ZieglerComments: 9 pages, 10 figuresSubjects: High Energy Physics  Lattice (heplat)
We numerically study QCD with a single quark flavour on the lattice probing predictions from effective field theories that are equivalent to minimal supersymmetric YangMills theory in the large $N_c$ limit. The hadronic spectrum including excited states is analysed using one gauge coupling and several physical volumes and fermion masses. We use the LapH method and also compute disconnected diagrams. Lattice simulations with an odd number of Wilson fermions give rise to regions of configuration space with a negative fermionic weight entailing a sign problem. We perform a detailed analysis on the spectrum of the WilsonDirac operator and report on observed cases of a negative fermion determinant in our ensembles.
Crosslists for Thu, 25 Nov 21
 [7] arXiv:2111.12223 (crosslist from condmat.statmech) [pdf, ps, other]

Title: Developments in the Tensor Network  from Statistical Mechanics to Quantum EntanglementComments: 33 pages, 20 figuresSubjects: Statistical Mechanics (condmat.statmech); High Energy Physics  Lattice (heplat); High Energy Physics  Theory (hepth); Quantum Physics (quantph)
Tensor networks (TNs) have become one of the most essential building blocks for various fields of theoretical physics such as condensed matter theory, statistical mechanics, quantum information and quantum gravity. This review provides a unified description of a series of developments in the TN from the statistical mechanics side. In particular, we begin with the variational principle for the transfer matrix of the 2D Ising model, which naturally leads us to the matrix product state (MPS) and the corner transfer matrix (CTM). We then explain how the CTM can be evolved to such MPSbased approaches as density matrix renormalization group (DMRG) and infinite timeevolved block decimation. We also elucidate that the finitesize DMRG played an intrinsic role for incorporating various quantum information concepts in subsequent development of the TN. After surveying higher dimensional generalizations like tensor product states or projected entangled pair states, we describe tensor renormalization groups (TRGs), which are a fusion of TNs and KadanoffWilson type realspace renormalization groups, with focusing on their fixed point structures. We then discuss how the difficulty in TRGs for critical systems can be overcome in the tensor network renormalization and the multiscale entanglement renormalization ansatz.
Replacements for Thu, 25 Nov 21
 [8] arXiv:2104.13345 (replaced) [pdf, other]

Title: Renormalization and Mixing of StapleShaped Wilson Line Operators on the Lattice RevisitedComments: 8 pages, version published in Phys. Rev. DJournalref: Phys.Rev.D 104, 094510 (2021)Subjects: High Energy Physics  Phenomenology (hepph); High Energy Physics  Lattice (heplat); Nuclear Experiment (nuclex); Nuclear Theory (nuclth)
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