论文标题
紫外线非本地哈密顿扰动量子场理论及其绝热极限
Ultraviolet finite non-local Hamiltonian perturbation Quantum Field Theories and their weak adiabatic limit
论文作者
论文摘要
非本地量子场理论引起了对数学和物理社区的兴趣，作为候选人，以考虑到量子重力效应的有效描述。通常不适用用于常规局部量子场理论的标准方法。在本文中，最初提出的哈密顿方法是量化非本地有效理论，其灵感来自Doplicher-fredenhagen-Roberts量子时空的非兼容性几何形状，被推广到大型紫外线有限的非局限性非局部非局部型Hamiltonian Hamiltonian Hamiltonian扰动量子量子田地。讨论了此类理论的一般特性。整个阶级理论证明了绝热极限的存在。
The non-local quantum field theories attract interest in the mathematical and physical community as candidates for effective description of the reality taking into account the quantum gravity effects. The standard methods, developed for the conventional local quantum field theories, often are not applicable. In this paper the Hamiltonian approach, originally proposed for quantization of the non-local effective theory inspired by non-commutative geometry of the Doplicher-Fredenhagen-Roberts Quantum Spacetime, is generalized to a large class of ultraviolet finite non-local Hamiltonian perturbative Quantum Field Theories. General properties of such theories are discussed. The weak adiabatic limit existence is proved for the whole class of theories.
