# Explanation of Detailed Balance in Horava-Lifshitz Gravity?

+ 4 like - 0 dislike
3156 views

In standard Monte Carlo simulations there is a notion of detailed balance . Also in Horava-Lifshitz gravity there is a notion of detailed balance that appears superficially to be unrelated to the Monte Carlo definition. I was wondering what is the relation between the two notions?

asked Sep 21, 2014
recategorized Sep 21, 2014

Interesting, I know the detailled balance only from some nonequilibrium statistical issues. Can you say a bit more about what it is used for in Monte Carlo simulations and in particular how it appears in Horava-Lifshitz gravity?

I've been trying to find the answer to this question too. In Markov Chain Monte Carlo simulations different configurations are generated by a Markov Chain (usually one step) and detailed balance is used as it guarantees the convergence of the probability distributions for the configurations to the correct Boltzmann weights. As for H-L gravity, in Horava's original paper (http://arxiv.org/pdf/0901.3775v2.pdf), he introduces a restriction he calls detailed balance which he states means the potential must be derivable from some superpotential (page 10 of his paper). I guess the question (and my question) is what is the relation between this and detailed balance in any other context?

## Your answer

 Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead. To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL. Please consult the FAQ for as to how to format your post. This is the answer box; if you want to write a comment instead, please use the 'add comment' button. Live preview (may slow down editor)   Preview Your name to display (optional): Email me at this address if my answer is selected or commented on: Privacy: Your email address will only be used for sending these notifications. Anti-spam verification: If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:p$\hbar$y$\varnothing$icsOverflowThen drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds). Please complete the anti-spam verification