The Approach to Equilibrium: Scaling, Universality and the Renormalisation Group

Like most of the greatest equations in science, the Boltzmann equation is not only beautiful but also generous. Indeed, it delivers a great deal of information without imposing a detailed knowledge of its solutions. In fact, Boltzmann himself derived most if not all of his main results without ever showing that his equation did admit rigorous solutions. This Chapter illustrates one of the most profound contributions of Boltzmann, namely the famous H-theorem, providing the first quantitative bridge between the irreversible evolution of the macroscopic world and the reversible laws of the underlying microdynamics.

Download Full-text

Renormalisation group aspects of η′ → γγ

Nuclear Physics B ◽

10.1016/0550-3213(92)90638-r ◽

1992 ◽

Vol 381 (1-2) ◽

pp. 3-22 ◽

Cited By ~ 49

Author(s):

G.M. Shore ◽

G. Veneziano

Keyword(s):

Renormalisation Group

Download Full-text

Allosteric inhibition of methylenetetrahydrofolate reductase by adenosylmethionine. Effects of adenosylmethionine and NADPH on the equilibrium between active and inactive forms of the enzyme and on the kinetics of approach to equilibrium.

Journal of Biological Chemistry ◽

10.1016/s0021-9258(18)61530-3 ◽

1987 ◽

Vol 262 (6) ◽

pp. 2485-2493 ◽

Cited By ~ 1

Author(s):

D.A. Jencks ◽

R.G. Mathews

Keyword(s):

Methylenetetrahydrofolate Reductase ◽

Approach To Equilibrium ◽

Allosteric Inhibition ◽

Kinetics Of

Download Full-text

ANEC in λϕ4 theory

Journal of High Energy Physics ◽

10.1007/jhep01(2021)132 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Teresa Bautista ◽

Lorenzo Casarin ◽

Hadi Godazgar

Keyword(s):

Critical Points ◽

Energy Condition ◽

Null Energy Condition ◽

Renormalisation Group ◽

Quartic Coupling ◽

Third Order ◽

Expectation Value ◽

Scalar State

Abstract Motivated by the goal of applying the average null energy condition (ANEC) to renormalisation group flows, we calculate in λϕ4 theory the expectation value of the ANEC operator in a particular scalar state perturbatively up to third order in the quartic coupling and verify the expected CFT answer. The work provides the technical tools for studying the expectation value of the ANEC operator in more interesting states, for example tensorial states relevant to the Hofman-Maldacena collider bounds, away from critical points.

Download Full-text