Correlation entropy of an interacting quantum field and H theorem for the O„N… model

ESTEBAN CALZETTA; BEI-LOK HU

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS

Lugar: Ridge; Año: 2003 vol. 68 p. 1 - 11

0556-2821

Following the Boltzmann-BBGKY paradigm we propose a correlation entropy ~of the nth order! for an interacting quantum field. The concept of correlation entropy is useful for addressing issues related to thermalization. As a small yet important step in that direction, we state an H theorem for the correlation entropy of a quantum-mechanical O(N) model with a closed time path two-particle irreducible effective action at the level of a next-to-leading-order large N approximation. This model may be regarded as a field theory in 0 space dimensions. We verify the validity of the proposed H theorem in two limiting cases. DOI: 10.1103/PhysRevD.68.065027 PACS number~s!: 11.10.Wx~of the nth order! for an interacting quantum field. The concept of correlation entropy is useful for addressing issues related to thermalization. As a small yet important step in that direction, we state an H theorem for the correlation entropy of a quantum-mechanical O(N) model with a closed time path two-particle irreducible effective action at the level of a next-to-leading-order large N approximation. This model may be regarded as a field theory in 0 space dimensions. We verify the validity of the proposed H theorem in two limiting cases. DOI: 10.1103/PhysRevD.68.065027 PACS number~s!: 11.10.WxH theorem for the correlation entropy of a quantum-mechanical O(N) model with a closed time path two-particle irreducible effective action at the level of a next-to-leading-order large N approximation. This model may be regarded as a field theory in 0 space dimensions. We verify the validity of the proposed H theorem in two limiting cases. DOI: 10.1103/PhysRevD.68.065027 PACS number~s!: 11.10.WxN) model with a closed time path two-particle irreducible effective action at the level of a next-to-leading-order large N approximation. This model may be regarded as a field theory in 0 space dimensions. We verify the validity of the proposed H theorem in two limiting cases. DOI: 10.1103/PhysRevD.68.065027 PACS number~s!: 11.10.WxN approximation. This model may be regarded as a field theory in 0 space dimensions. We verify the validity of the proposed H theorem in two limiting cases. DOI: 10.1103/PhysRevD.68.065027 PACS number~s!: 11.10.WxH theorem in two limiting cases. DOI: 10.1103/PhysRevD.68.065027 PACS number~s!: 11.10.Wx~s!: 11.10.Wx