We investigate the thermodynamics of non-relativistic and relativistic ideal gases on the spacetime with noncommutative fuzzy geometry. We first find that the heat capacities of the non-relativistic ideal boson and fermion on the fuzzy two-sphere have different values, contrast to that on the commutative geometry. We calculate the “statistical interparticle potential” therein and interprete thi...

We study the impact of quantum gravity on a system chiral fermions that are charged under an Abelian gauge group. Under gravity, finite value coupling could be generated and in turn drive four-fermion interactions to criticality. find indications gravity-gauge-fermion interplay protects lightness for large enough number fermions. On other hand, smaller fermions, symmetry may broken, which would...

Dynamical generation of 4d gauge theories and gravity at low energy from the 3d ones at high energy is studied, based on the fermion condensation mechanism recently proposed by Arkani-Hamed, Cohen and Georgi. For gravity, 4d Einstein gravity is generated from the multiple copy of the 3d ones, by referring to the two form gravity. Since the 3d Einstein action without matter coupling is topologic...

In this work, we perform parameter tuning with dynamical anisotropic clover lattices using the Schrödinger functional and stout-smearing in the fermion field. We find that ξR/ξ0 is relatively close to 1 in our parameter search, which allows us to fix ξ0 in our runs. We proposed to determine the gauge and fermion anisotropy in a Schrödinger-background small box using Wilson loop ratios and PCAC ...