论文标题
倾向于量化不均匀场理论
Toward Quantization of Inhomogeneous Field Theory
论文作者
论文摘要
我们探讨了$（1+1）$ - 维度不均匀的标量场理论的量化，其中庞加莱对称性被明确破坏。我们在弯曲的时空背景上的标量场理论与其相应的不均匀标量场理论之间显示了“经典等效”。这意味着在某些不均匀的场理论中可能存在隐藏的联系，这对应于弯曲时空中田间理论中的一般协方差。基于经典等效性，我们建议如何用曲面理论方法，规范和代数方法在弯曲的时空上量化特定场理论。因此，我们表明可以在不均匀的田间理论中实现未造成效应，并提出可以通过凝结物质实验对其进行测试。我们建议一种代数方法适合量化通用不均匀场理论。
We explore the quantization of a $(1+1)$-dimensional inhomogeneous scalar field theory in which Poincaré symmetry is explicitly broken. We show the `classical equivalence' between a scalar field theory on curved spacetime background and its corresponding inhomogeneous scalar field theory. This implies that a hidden connection may exist among some inhomogeneous field theories, which corresponds to general covariance in field theory on curved spacetime. Based on the classical equivalence, we propose how to quantize a specific field theory with broken Poincaré symmetry inspired by standard field theoretic approaches, canonical and algebraic methods, on curved spacetime. Consequently, we show that the Unruh effect can be realized in inhomogeneous field theory and propose that it may be tested by a condensed matter experiment. We suggest that an algebraic approach is appropriate for the quantization of a generic inhomogeneous field theory.
