DelgadilloBlando, Rodrigo and O'Connor, Denjoe and Ydri, Badis (2009) Matrix models, gauge theory and emergent geometry. Journal of High Energy Physics, 2009 (05). 049049. ISSN 10298479

Text
DIASSTP0824.pdf Download (953kB)  Preview 
Abstract
We present, theoretical predictions and Monte Carlo simulations, for a simple three matrix model that exhibits an exotic phase transition. The nature of the transition is very different if approached from the high or low temperature side. The high temperature phase is described by three self interacting random matrices with no background spacetime geometry. As the system cools there is a phase transition in which a classical twosphere condenses to form the background geometry. The transition has an entropy jump or latent heat, yet the specific heat diverges as the transition is approached from low temperatures. We find no divergence or evidence of critical fluctuations when the transition is approached from the high temperature phase. At sufficiently low temperatures the system is described by small fluctuations, on a background classical twosphere, of a U(1) gauge field coupled to a massive scalar field. The critical temperature is pushed upwards as the scalar field mass is increased. Once the geometrical phase is well established the specific heat takes the value 1 with the gauge and scalar fields each contributing 1/2.
Item Type:  Article 

Divisions:  School of Theoretical Physics > Preprints 
Date Deposited:  05 Oct 2017 19:18 
Last Modified:  13 Jul 2018 11:02 
URI:  http://dair.dias.ie/id/eprint/232 
Actions (login required)
View Item 
Downloads
Downloads per month over past year