As a first step towards realistic phenomenological description of vector and axial-vector mesons in nuclear matter, we calculate the spectral functions $\rho$ $a_1$ meson chiral baryon-meson model as low-energy effective realization QCD, taking into account effects fluctuations from scalar mesons, nucleons, within Functional Renormalization Group (FRG) approach. The phase diagram hadronic theor...

Multipole representation is proposed for the anisotropic Coulomb interactions in solids. Any local can be expressed as product of two multipole operators, and interaction parameters are systematically classified based on point group symmetry. The form restricted not only by symmetry Hermiticity but also spatial structure interaction, which closely related to presence or absence odd-rank multipo...

Abstract We prove that the boundary of Hall–Littlewood $t$-deformation Gelfand–Tsetlin graph is parametrized by infinite integer signatures, extending results Gorin [23] and Cuenca [15] on boundaries related deformed graphs. In special case when $1/t$ a prime $p$, we use this to recover Bufetov Qiu [12] Assiotis [1] $p$-adic random matrices, placing them in general context branching graphs deri...

The center-of-gravity rule is tested for heavy and light-quark mesons. In the heavy-meson sector, excellently satisfied. suggests that $a_0(980)$ could be spin-partner of $a_2(1320)$, $a_1(1260)$, $b_1(1235)$; $f_0(500)$ $f_2(1270)$, $f_1(1285)$, $h_1(1170)$; $f_0(980)$ $f_2'(1525)$, $f_1(1420)$, $h_1(1415)$. From decay production light scalar mesons we find a consistent mixing angle $\theta^{\...

We prove a number of results related to problem Po-Shen Loh, which is equivalent in Ramsey theory. Let $a=(a_1,a_2,a_3)$ and $b=(b_1,b_2,b_3)$ be two triples integers. Define $a$ 2-less than $b$ if $a_i<b_i$ for at least values $i$, define sequence $a^1,\dots,a^m$ 2-increasing $a^r$ $a^s$ whenever $r<s$. Loh asks how long can all the take $\{1,2,\dots,n\}$, gives $\log_*$ improvement over trivi...

For finitely generated subgroups W 1 , … t <mml:annotation encoding="applica...

We construct log-modular quantum groups at even order roots of unity, both as finite-dimensional ribbon quasi-Hopf algebras and finite tensor categories, via a de-equivariantization procedure. The existence such had been predicted by certain conformal field theory considerations, but constructions not appeared until recently. show that our can be identified with those Creutzig-Gainutdinov-Runke...

We study cluster algebras for some all-loop Feynman integrals, including box-ladder, penta-box-ladder, and (seven-point) double-penta-ladder integrals. In addition to the well-known box ladder whose symbol alphabet is $D_2\simeq A_1^2$, we show that penta-box has an of $D_3\simeq A_3$ provide strong evidence double-penta can be identified with a $D_4$ algebra. relate letters ${\bf u}$ variables...