Quantum and Thermal Fluctuations in Field Theory
Sen-Ben Liao, Janos Polonyi, Dapeng Xu

TL;DR
This paper investigates how finite temperature affects quantum field theories through blocking transformations, revealing insights into quantum fluctuations, domain formation, and mass generation without spontaneous symmetry breaking.
Contribution
It introduces a method to analyze temperature effects on renormalized trajectories, offering new perspectives on quantum fluctuations and phase phenomena in field theories.
Findings
Temperature deforms renormalized trajectories.
Domain formation can occur without spontaneous symmetry breaking.
Mass parameters can be generated at finite temperature.
Abstract
Blocking transformation is performed in quantum field theory at finite temperature. It is found that the manner temperature deforms the renormalized trajectories can be used to understand better the role played by the quantum fluctuations. In particular, it is conjectured that domain formation and mass parameter generation can be observed in theories without spontaneous symmetry breaking.
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