Wed·Oct 19, 2022Wednesday·October 19, 2022

1. 01*

   Towards the finite-volume spectrum of the Roper resonance

   Daniel Severt🇩🇪

   The finite-volume energy levels corresponding to the Roper resonance based on a two-flavor chiral effective Lagrangian at leading one-loop order are investigated. It is shown that the Roper mass can be extracted from these levels for not too large lattice volumes. Further, to include three-body $N\pi \pi$ dynamics, a non-relativistic effective field theory for the Roper resonance within a covariant particle-dimer picture is introduced. This particle-dimer approach is a suitable framework to investigate three-particle scattering relevant for the Roper channel. The appearing dimer fields are analyzed, the energy levels of the Roper resonance in a finite volume are calculated and compared to the results from the chiral effective Lagrangian.

   hep-lathep-phnucl-thPoS(2023)·4 citations
2. 02*

   Study of SU(2) gauge theories with multiple Higgs fields in different representations

   Guilherme Catumba🇪🇸 · Atsuki Hiraguchi🇹🇼 · George W.-S. Hou🇹🇼 · Karl Jansen🇩🇪 · Ying-Jer Kao🇹🇼 · C.-J. David Lin🇹🇼 · Alberto Ramos · Mugdha Sarkar🇹🇼

   We study two different SU(2) gauge-scalar theories in 3 and 4 spacetime dimensions. Firstly, we focus on the 3 dimensional SU(2) theory with multiple Higgs fields in the adjoint representation, that can be mapped to cuprate systems in condensed matter physics which host a rich phase diagram including high-Tc superconductivity. It has been proposed that the theory with 4 adjoint Higgs fields can be used to explain the physics of hole-doped cuprates for a wide range of parameters. We show exploratory results on the phase diagram of the theory. On the other hand, we are interested in the 4 dimensional theory with 2 sets of fundamental scalar (Higgs) fields, which is relevant to the 2 Higgs Doublet Model (2HDM), a proposed extension to the Standard Model of particle physics. The goal is to understand the particle spectrum of the theory at zero temperature and the electroweak phase transition at finite temperature. We present exploratory results on scale setting and the multi-parameter phase diagram of this theory.

   hep-latcond-mat.supr-conhep-phPoS(2023)·5 citations
3. 03*

   Gluon Parton Distribution of the Nucleon from 2+1+1-Flavor Lattice QCD in the Physical-Continuum Limit

   Zhouyou Fan🇺🇸 · William Good🇺🇸 · Huey-Wen Lin🇺🇸

   We present the first physical-continuum limit $x$-dependent nucleon gluon distribution from lattice QCD using the pseudo-PDF approach, on lattice ensembles with $2+1+1$ flavors of highly improved staggered quarks (HISQ), generated by MILC Collaboration. We use clover fermions for the valence action on three lattice spacings $a\approx 0.9$, 0.12 and 0.15~fm and three pion masses $M_{\pi }\approx 220$, 310 and 690~MeV, with nucleon two-point measurements numbering up to $O(10^6)$ and nucleon boost momenta up to 3~GeV. We study the lattice-spacing and pion-mass dependence of the reduced pseudo-ITD matrix elements obtained from the lattice calculation, then extrapolate them to the continuum-physical limit before extracting $xg(x)/⟨x{⟩}_g$. We use the gluon momentum fraction $⟨x{⟩}_g$ calculated from the same ensembles to determine the nucleon gluon unpolarized PDF $xg(x)$ for the first time entirely through lattice-QCD simulation. We compare our results with previous single-ensemble lattice calculations, as well as selected global fits.

   hep-lathep-phnucl-thPRD(2023)·35 citations
4. 04*

   Effective model for pure Yang-Mills theory on ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with Polyakov loops

   Daiki Suenaga🇯🇵 · Masakiyo Kitazawa🇯🇵

   We investigate the phase diagram and thermodynamics of $SU(N)$ pure Yang-Mills theory on a manifold ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with an effective model that includes two Polyakov loops along two compactified directions. We find that a rich phase structure can appear owing to the spontaneous breaking of two center symmetries for $N=2$ and $3$. Thermodynamic quantities are obtained in the model and compared with recent lattice results. It is shown that two Polyakov loops play significant roles in thermodynamics on ${\mathbb{T}}^2\times {\mathbb{R}}^2$.

   ↳ hep-phhep-lathep-thnucl-thPRD(2023)·5 citations
5. 05*

   On the Hagedorn Temperature in Holographic Confining Gauge Theories

   Francesco Bigazzi🇮🇹 · Tommaso Canneti🇮🇹 · Aldo L. Cotrone🇮🇹

   The divergence of the string partition function due to the exponential growth of states is a well-understood issue in flat spacetime. It can be interpreted as the appearance of tachyon modes above a certain temperature, known as the Hagedorn temperature $T_H$. In the literature, one can find some intuitions about its generalization to curved spacetimes, where computations are extremely hard and explicit results cannot be provided in general. In this paper, we present a genus-zero estimate of $T_H$, at leading order in ${\alpha }^{\prime }$, for string theories on curved backgrounds holographically dual to confining gauge theories. This is a particularly interesting case, since the holographic correspondence equates $T_H$ with the Hagedorn temperature of the dual gauge theories. For concreteness we focus on Type IIA string theory on a well known background dual to an $SU(N)$ Yang-Mills theory. The resulting Hagedorn temperature turns out to be proportional to the square root of the Yang-Mills confining string tension. The related coefficient, which at leading order is analytically determined, is the same as the one for Type II theories in flat space. While the calculation is performed in a specific model, the result applies in full generality to confining gauge theories with a top-down holographic dual.

   ↳ hep-thhep-lathep-phJHEP(2023)·11 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.