The Effect of Quantum Fluctuations in the HighEnergy Cold Nuclear Equation of State and in Compact Star Observables
Abstract
We present a novel technique to obtain exact equation of state (EoS) by the Functional Renormalization Group (FRG) method, using the expansion of the effective potential in a base of harmonic functions at finite chemical potential. Within this theoretical framework we determined the equation of state and the phase diagram of a simple model of massless fermions coupled to scalars through Yukawacoupling at the zerotemperature limit. We compared our results to the 1loop and the mean field approximation of the same model and other highdensity nuclear matter equation of states. We found a $1020\%$ difference between these approximations. As an application, we used our exact, FRGbased equation of states to test the effect of the quantum fluctuations in superdense nuclear matter of a compact astrophysical object for the first time. We calculated the massradius relation for a compact star using the TolmannOppenheimerVolkov equation and observed a $\sim 5\%$ effect in compact star observables due to quantum fluctuations.
 Publication:

arXiv eprints
 Pub Date:
 October 2016
 arXiv:
 arXiv:1610.03674
 Bibcode:
 2016arXiv161003674P
 Keywords:

 Nuclear Theory;
 High Energy Physics  Phenomenology
 EPrint:
 4 pages, 4 figures