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The Moir\'e patterns generated by altering the structural parameters in a two or more layers of periodic materials, including single-layer structure, interlayer stacking, and twisting parameters, exhibit prosperous topological physical…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Peng Peng , Yuchen Peng , Aoqian Shi , Xiaogen Yi , Yizhou Wei , Jianjun Liu

We present a detailed design of a (P)HMC simulation algorithm for N_f = 2 + 1 + 1 maximally twisted Wilson quark flavours. The algorithm retains even/odd and mass-shift preconditionings combined with multiple Molecular Dynamics time scales…

High Energy Physics - Lattice · Physics 2007-05-23 T. Chiarappa , R. Frezzotti , C. Urbach

We present the first determination of the topological susceptibility from lattice QCD in the presence of strong background magnetic fields. Our simulations employ 2+1 flavours of stout improved staggered quarks with physical masses and…

High Energy Physics - Lattice · Physics 2025-01-22 B. B. Brandt , G. Endrődi , J. J. Hernández Hernández , G. Markó

The initial motivation of this work was to give a topological interpretation of two-periodic twisted de-Rham cohomology which is generalizable to arbitrary coefficients. To this end we develop a sheaf theory in the context of locally…

Algebraic Topology · Mathematics 2012-10-12 Ulrich Bunke , Markus Spitzweck , Thomas Schick

The first two non-trivial moments of the distribution of the topological charge (or gluonic winding number), i.e., the topological susceptibility and the fourth cumulant, can be computed in lattice QCD simulations and exploited to constrain…

High Energy Physics - Lattice · Physics 2015-06-11 V. Bernard , S. Descotes-Genon , G. Toucas

We determine the topological susceptibility $\chi_t$ in two-flavor QCD using the lattice simulations at a fixed topological sector. The topological charge density is unambiguously defined on the lattice using the overlap-Dirac operator…

High Energy Physics - Lattice · Physics 2008-11-26 S. Aoki , T. W. Chiu , H. Fukaya , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , K. Ogawa , T. Onogi , N. Yamada

Statistical Topology emerged since topological aspects continue to gain importance in many areas of physics. It is most desirable to study topological invariants and their statistics in schematic models that facilitate the identification of…

Mathematical Physics · Physics 2023-03-22 Thomas Guhr

We present quark number susceptibilities and conserved charge fluctuations for (2+1)-flavor QCD using M\"obius Domain Wall fermions with a pion mass of \(135~\rm{MeV}\). Our results are compared with hadron resonance gas models below the…

We study the properties of pions in twisted mass lattice QCD (with two degenerate flavors) using chiral perturbation theory (ChPT). We work to next-to-leading order (NLO) in a power counting scheme in which m_q ~ a \Lambda_QCD^2, with m_q…

High Energy Physics - Lattice · Physics 2009-11-10 Stephen R. Sharpe , Jackson M. S. Wu

We consider topological twists of four-dimensional $\mathcal{N}=2$ supersymmetric QCD with gauge group SU(2) and $N_f\leq 3$ fundamental hypermultiplets. The twists are labelled by a choice of background fluxes for the flavour group, which…

High Energy Physics - Theory · Physics 2023-12-21 Johannes Aspman , Elias Furrer , Jan Manschot

We present results from an ongoing computation of masses of $D$ mesons, $D_s$ mesons and charmonium, including both ground states and several parity and angular momentum excitations. We employ 2+1+1 flavours of dynamical maximally twisted…

High Energy Physics - Lattice · Physics 2015-10-28 Krzysztof Cichy , Martin Kalinowski , Marc Wagner

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term for two degenerate quark flavours is considered in the framework of chiral perturbation theory. The pion masses and decay constants are calculated in…

High Energy Physics - Lattice · Physics 2010-12-23 Gernot Münster , Christian Schmidt , Enno E. Scholz

We make a thermal analysis of the light scalar susceptibilities using SU(3)-Chiral Perturbation Theory to one loop taking into account the QCD source of isospin breaking (IB), i.e corrections coming from $m_u\neq m_d$. The value of the…

High Energy Physics - Phenomenology · Physics 2015-06-03 R. Torres Andres , A. Gomez Nicola

We introduce topological methods for quantifying spatially heterogeneous dynamics, and use these tools to analyze particle-tracking data for a quasi-two-dimensional granular system of air-fluidized beads on approach to jamming. In…

Soft Condensed Matter · Physics 2007-08-30 A. R. Abate , D. J. Durian

The chiral symmetry at finite lattice spacing of Ginsparg-Wilson fermionic actions constrains the renormalization of the lattice operators; in particular, the topological susceptibility does not require any renormalization, when using a…

High Energy Physics - Lattice · Physics 2009-11-10 Luigi Del Debbio , Claudio Pica

Pi-Pi scattering is investigated for the first time for Nf=2+1+1 dynamical quark flavours using Wilson twisted mass fermions. L\"uscher's finite size method is used to relate energy shifts in finite volume to scattering quantities like the…

High Energy Physics - Lattice · Physics 2014-12-02 Christopher Helmes , Christian Jost , Bastian Knippschild , Liuming Liu , Carsten Urbach , Markus Werner

In the first part of this paper we investigate the operator aspect of higher-rank supersymmetric model which is introduced as a Lie theoretic extension of the $N=2$ minimal model with the simplest case $su(2)$ corresponding to the $N=2$…

High Energy Physics - Theory · Physics 2009-10-22 Toshiya Kawai , Taku Uchino , Sung-Kil Yang

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term for two degenerate quark flavours is considered in the framework of chiral perturbation theory. The pion mass and decay constant are calculated in…

High Energy Physics - Lattice · Physics 2010-12-23 Gernot Münster , Christian Schmidt

We extend our sum over topologies formula to fermions. We show that fermionic fields display an instability with respect to topology fluctuations. We present some phenomenological arguments for a modification of the action in the case of…

High Energy Physics - Theory · Physics 2008-10-20 A. A. Kirillov , E. P. Savelova

We discuss the moduli-dependent couplings of the higher derivative F-terms $(\Tr W^2)^{h-1}$, where $W$ is the gauge N=1 chiral superfield. They are determined by the genus zero topological partition function $F^{(0,h)}$, on a world-sheet…

High Energy Physics - Theory · Physics 2010-04-05 I. Antoniadis , K. S. Narain , T. R. Taylor
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