Wightman-Function Approach to the Relativistic Complex-Ghost Field Theory
Noboru Nakanishi
TL;DR
This paper formulates the relativistic complex-ghost field theory using Wightman functions, explicitly calculates the 2-point function, and compares Lorentz invariance breaking with Feynman integral results.
Contribution
It introduces a covariant Wightman function approach to complex-ghost fields and provides explicit calculations of the 2-point function.
Findings
Explicit Fourier transform of the 2-point Wightman function
Comparison of Lorentz invariance breakdown with Feynman integral
Insights into the structure of complex-ghost field theory
Abstract
The relativistic complex-ghost field theory is covariantly formulated in terms of Wightman functions. The Fourier transform of the 2-point Wightman function of a complex-ghost pair is explicitly calculated, and its spontaneous breakdown of Lorentz invariance is compared with that of the corresponding Feynman integral.
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