Embedded Files
For a relativistic system, the most general state of global thermodynamic equilibrium includes effects due to rotation and acceleration. Computing mean values associated to such operators is a very difficult task, and usually involves the solution of the field equations in curvilinear coordinates.
We developed a new method, called "Analytic Distillation" which is based on a power series asymptotic expansion, and does not need curvilinear coordinates. This method matches the previous results known in the literature for massless fields, and is also fit for applications to systems undergoing both rotation and acceleration. Compute mean values in the latter equilibrium would be quite challenging in curvilinear coordinates.
DEFINITIONS AND APPLICATIONS
The analytic distillation of a function is given by the analytic part of such function, which can be extracted, or "dystillated", using an asymptotic power expansion. A more rigorous definition, was given for the first time while providing exact mean values for a scalar field theory under rotation and acceleration.
This definition has been applied to a number functions expressed as series of the acceleration-angular velocity. The asymptotic expansion of these series was obtained using a result due to Zagier in the scalar case, and with its extension to alternating series in the fermionic case.
ONGOING PROJECTS
Dystillation of mean values for massive particles
Page updated
Report abuse