Fermion Dynamics by Internal and Space-Time Symmetries

Vacuum decay and internal symmetries

We study the effects of internal symmetries on the decay by bubble nucleation of a metastable false vacuum. The zero modes about the bounce solution that are associated with the breaking of continuous internal symmetries result in an enhancement of the tunneling rate into vacua in which some of the symmetries of the initial state are spontaneously broken. We develop a general formalism for evaluating the effects of these zero modes on the bubble nucleation rate in both flat and curved space-times.

高导数渐近荷与内部 Lorentz 对称性

Higher derivative asymptotic charges and internal Lorentz symmetries

本文研究高导数渐近引力荷，揭示高导数 BMS 荷与两导数 BMS 荷的关联，并阐明内部 Lorentz 变换在高导数情形中的作用及相应荷。

STEGR 的内空间形式：形式体系、主约束与可能的内对称性

STEGR in Internal-Space Formulation: Formalisms, Primary Constraints, and Possible Internal Symmetries

本文在内空间框架下建立STEGR理论，发现三种形式体系及两种内对称性，分别满足平移或局域洛伦兹对称性，并展望未来研究方向。

The Fermionic Signature Operator and Space-Time Symmetries

We show that and specify how space-time symmetries give rise to corresponding symmetries of the fermionic signature operator and generalized fermionic projector states.

Exact Space-Time Gauge Symmetry of Gravity, Its Couplings and Approximate Internal Symmetries in a Total-Unified Model

Gravitational field is the manifestation of space-time translational ($T_4$) gauge symmetry, which enables gravitational interaction to be unified with the strong and the electroweak interactions. Such a total-unified model is based on a generalized Yang-Mills framework in flat space-time. Following the idea of Glashow-Salam-Ward-Weinberg, we gauge the groups $T_4 \times (SU_3)_{color} \times SU_2 \times U_1\times U_{1b}$ on equal-footing, so that we have the total-unified gauge covariant derivative ${\bf \d}_μ = \p_μ - igϕ_μ^ν p_ν+ig_{s}{G_μ^{a}}(\ld^a/2) +if{W_μ^{k}}{t^k} + if' U_μt_{o} + ig…

Internal Space-time Symmetries of Massless Particles and Neutrino Polarization as a Consequence of Gauge Invariance

There are gauge-transformation operators applicable to massless spin-1/2 particles within the little-group framework of internal space-time symmetries of massive and massless particles. It is shown that two of the $SL(2,c)$ spinors are invariant under gauge transformations while the remaining two are not. The Dirac equation contains only the gauge-invariant spinors leading to polarized neutrinos. It is shown that the gauge-dependent $SL(2,c)$ spinor is the origin of the gauge dependence of electromagnetic four-potentials. It is noted also that, for spin-1/2 particles, the symmetry group for ma…