论文标题

字符串模式,传播器和模糊空间上的循环

String modes, propagators and loops on fuzzy spaces

论文作者

Steinacker, Harold C., Tekel, Juraj

论文摘要

我们以字符串模式在模糊的2速度上介绍了功能和运算符的系统组织,该模式在位置和动量空间中最佳地本地化。这允许将非交通量子场理论的半古典和深量子制度分开,并表现出其非本地性质。该组织大大简化了循环贡献的计算,避免了振荡积分,并直接在位置空间中提供了有效的动作。 UV/IR混合被理解为循环中的长弦模式引起的非局部性。该方法适用于任何量化的符号空间。

We present a systematic organization of functions and operators on the fuzzy 2-sphere in terms of string modes, which are optimally localized in position and momentum space. This allows to separate the semi-classical and the deep quantum regime of non-commutative quantum field theory and exhibits its nonlocal nature. This organization greatly simplifies the computation of loop contributions, avoiding oscillatory integrals and providing the effective action directly in position space. UV/IR mixing is understood as nonlocality arising from long string modes in the loops. The method is suited for any quantized symplectic space.

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