3+epsilon-D 宇称破坏场论中的伸缩子
Dilaton in a Multicritical 3+epsilon-D Parity Violating Field Theory
AI总结：
本文利用大 $N$ 展开研究 3+epsilon 维 Gross-Neveu 模型在宇称破坏算符形变下的多临界行为，发现当 epsilon 足够大时出现伴随轻伸缩子的标度对称性自发破缺，而在 3 维下形变变为边缘无关并导致理论全局不稳定。
摘要：
本文使用大 $N$ 展开研究了近似标度和共形不变量子场论的多临界行为，该理论可视为在 3+epsilon 维中由近边缘宇称破坏算符对临界 Gross-Neveu 模型的形变。当 epsilon 大于量级为 1/N 的数值时，该形变为边缘相关，并发现它表现出近似标度对称性的自发破缺，伴随其谱中出现一个轻标量。该标量质量在参数尺度上很小，量级为 epsilon 乘以费米子质量，可被认定为轻伸缩子。当维度降至 3 时，Gross-Neveu 模型的形变变为边缘无关，原势能极小值变为极大值，理论具有非微扰全局不稳定性。存在一个亚稳态微扰相，其中标量不凝聚且费米子无质量，该相由量级为 1（而非 N）高度的能垒与一个具有逃逸凝聚的能量优先相隔开。
英文摘要：
The multi-critical behaviour of an approximately scale and conformal invariant quantum field theory, which can be regarded as the deformation of the critical Gross-Neveu model in 3+epsilon dimensions by a nearly marginal parity violating operator, is studied using a large $N$ expansion. When epsilon is greater than a number of order 1/N, the deformation is marginally relevant and it is found to exhibit spontaneous breaking of the approximate scale symmetry accompanied by the appearance of a light scalar in its spectrum. The scalar mass is parametrically small, of order epsilon times the fermion mass and it can be identified with a light dilaton. When the dimension is reduced to 3 the deformation of the Gross-Neveu model becomes marginally irrelevant, what was a minimum of the potential becomes a maximum and the theory has a non-perturbative global instability. There is a metastable perturbative phase where the scalar does not condense and the fermions are massless separated by an energy barrier with height of order one (rather than N) from an energetically favoured phase with a runaway condensate.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
