Abstract
Мы изучаем, как модифицируются модели квантовой теории при перепараметризации координат пространства-времени и одновременно некоторых преобразований полевой функции. Предъявлены преобразования, которые превращают действие массивного поля в пространстве-времени Минковского в действие безмассового поля в некотором искривлённом пространстве.
Highlights
We study how the quantum field theory model is modified under the reparametrizations of the space-time coordinates xμ and some simultaneous transformations of the field function u(x)
It is an important part of a more general problem to study the behaviour of functional integrals in quantum field theory under transformations of coordinates of the space-time and field functions
We do not yet know if the discussed peculiar spaces have any physical sense, the study of these spaces can help to understand the structure of functional integrals in quantum field theory in plane and in curved spaces
Summary
We study how the quantum field theory model is modified under the reparametrizations of the space-time coordinates xμ and some simultaneous transformations of the field function u(x). It is an important part of a more general problem to study the behaviour of functional integrals in quantum field theory under transformations of coordinates of the space-time and field functions. We consider the class of transformations of the coordinates of the d−dimensional space and the simultaneous transformations of the field function u(x) that leave invariant the differential (u(x))2d−4 dx , x ∈ Rd. We consider the class of transformations of the coordinates of the d−dimensional space and the simultaneous transformations of the field function u(x) that leave invariant the differential (u(x))2d−4 dx , x ∈ Rd In this class, there are transformations that relate massive and massless theories.
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