AI 中文总结
本文研究洛伦兹破缺标量场理论中(1+1)维λφ⁴扭结质量的单圈量子修正，完成单圈重整化并得到扭结质量的c一阶结果。
AI 中文摘要
我们研究在不可约类空洛伦兹破缺相互作用存在时，(1+1)维λφ⁴扭结质量的辐射修正。洛伦兹破缺算子选为-½cφ²(u·∂φ)²，其中u^μ=(0,1)，这是该类模型中最低阶的单标量算子，其产生的效应无法通过坐标或场的线性重定义消除。我们对 underlying量子场论进行单圈重整化。与二维洛伦兹不变λφ⁴理论不同，该洛伦兹破缺理论在此阶需要同时有修正的质量抵消项和非零的场强抵消项。修正后的稳定性问题包含修正的束缚态和连续态模式，而在此采用的边界条件下，连续态相移在O(c)阶保持不变。最后，利用真空扣除的零点能和抵消项哈密顿量，我们得到c一阶的单圈扭结质量。我们给出配套论文计算中采用的扣除方案的有限系数，其中洛伦兹破缺贡献为数值负的。
英文摘要
We study the radiative correction to the mass of the $(1+1)$-dimensional $λϕ^4$ kink in the presence of an irreducible, spacelike Lorentz-violating interaction. The Lorentz-violating operator is chosen as $-\frac12 cϕ^2(u\!\cdot\!\partialϕ)^2$ with $u^μ=(0,1)$, which is the lowest-order single-scalar operator considered in this class of models that produces effects that cannot be removed by a linear redefinition of coordinates or the field. We perform the one-loop renormalization of the underlying quantum field theory. In contrast with Lorentz-invariant $λϕ^4$ theory in two dimensions, the Lorentz-violating theory requires, at this order, both a modified mass counterterm and a nonzero field-strength counterterm. The corrected stability problem contains modified bound and continuum modes, while the continuum phase shift remains unchanged at $O(c)$ with the boundary-condition prescription adopted here. Finally, using the vacuum-subtracted zero-point energy and the counterterm Hamiltonian, we obtain the one-loop kink mass through first order in $c$. We give the finite coefficient in the subtraction prescription implemented in the accompanying thesis calculation, for which the Lorentz-violating contribution is numerically negative.
Comments13 pages,1 figure, revtex4-2
