Andrade, Tomas and Ross, Simon F. (2013) 'Boundary conditions for scalars in Lifshitz.', Classical and quantum gravity., 30 (6). 065009.
We consider the quantization of scalar fields on a Lifshitz background, exploring the possibility of alternative boundary conditions, allowing the slow falloff mode to fluctuate. We show that the scalar field with alternative boundary conditions is normalizable for a larger range of masses than in the AdS case. However, we then find a new instability for alternative boundary conditions, implying that the range of masses where alternative boundary conditions define a well-behaved dual theory is m2BF < m2 < m2BF + 1, analogously to the AdS case. The instability is of a novel type, with modes of arbitrarily large momentum which grow exponentially in time; it is therefore essentially a UV effect, and implies that the dual field theory is simply not defined where it appears. We discuss the interpretation in the dual field theory, and give a proposed lower bound on the dimension of scalar operators.
|Full text:||(AM) Accepted Manuscript|
Download PDF (547Kb)
|Publisher Web site:||http://dx.doi.org/10.1088/0264-9381/30/6/065009|
|Publisher statement:||© 2013 IOP Publishing|
|Date accepted:||No date available|
|Date deposited:||21 December 2013|
|Date of first online publication:||March 2013|
|Date first made open access:||No date available|
Save or Share this output
|Look up in GoogleScholar|