Publication details for Simon RossAndrade, Tomas & Ross, Simon F. (2013). Boundary conditions for scalars in Lifshitz. Classical and Quantum Gravity 30(6): 065009.
- Publication type: Journal Article
- ISSN/ISBN: 0264-9381 (print), 1361-6382 (electronic)
- DOI: 10.1088/0264-9381/30/6/065009
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
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.