The Current C, T Transformation Rules of Quantum Field Theory Must be Redefined

TL;DR

This paper argues that the current quantum field theory's transformation rules, especially for time reversal and charge conjugation, are flawed and need redefinition to align with physical reality and experimental results.

Contribution

It proposes a redefinition of the C and T transformation rules in quantum field theory, considering particle creation and annihilation processes in momentum space.

Findings

Current T transformation leads to unrealistic symmetry violations.

Reconsidering creation and annihilation reversal reduces symmetry violation.

Identifies inconsistencies in C transformation between operators and wave functions.

Abstract

In light of the transformation defined in the current quantum field theory, electromagnetic interaction is unchanged under time reversal. However, this kind of time reversal only lets in the Hamiltonian of the coordinate space, without considering that the creation and annihilation processes of particles should also be reversed when the concrete problems are calculated in momentum space. In fact, according to the current transformation of quantum field theory, creation operator of spinor particle is still creation operator and annihilation operator is also still annihilation operator. This result does not represent the real meaning of time reversal. In the interaction process, a particle's creation operator should become the annihilation operator and its annihilation operator should become the creation operator after time reversal. It is proved that when the reversion of creation and annihilation processes is considered in momentum space, under the condition of high energy, a great symmetry violation of time reversal would be caused in some low order processes of electromagnetic interaction just as the Compton scattering in which the propagation lines of fermions are contained. This result contradicts with the experiments of particle physics and is impossible. Meanwhile, it is proved that the normalization processes of the third order vertex angles of electromagnetic interaction also violate time reversal symmetry, no matter in the coordinate space or in the momentum space. But the symmetry violation is small with a magnitude order about 10(-5). The similar problems exist in the current C transformation of quantum field theory. The C transformation of creation and annihilation operator can not be consistent with the C transformation of spinor particle's wave functions in momentum space. We can obtain the correct C transformation of creation and annihilation operator, but can not obtain the correct C transformation of wave functions in momentum space. Therefore, the current rules of C,T transformations in quantum field theory has serious defect and should be redefined.