Quantum Chaos in a Yang-Mills-Higgs System

We study the energy fluctuations of a spatially homogeneous SU(2) Yang-- Mills--Higgs system. In particular, we analyze the nearest--neighbour spacing distribution which shows a Wigner--Poisson transition by increasing the value of the Higgs field in the vacuum. This transition is a clear quantum signature of the classical chaos--order transition of the system. To be published in Modern Physics Letters A 1 E--Mail: [email protected] 1 Introduction In the last years there has been much interest in classical chaos in field theories. It is now well known that the spatially uniform limits of scalar electrodynamics and Yang--Mills theory exhibit classical chaotic motion 1)\\Gamma8) . On the other hand, in field theories, less attention has been paid to quantum chaos, i.e. the study of properties of quantum systems which are classically chaotic 9) . The energy fluctuation properties of systems with underlying classical chaotic behaviour and time--reversal symmetry agree with th...

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