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Mass Gap at Positive TemperatureMathematical Physics & Probability
|Speaker: ||Christian Jaekel, Cardiff University|
|Location: ||2112 MSB|
|Start time: ||Thu, Apr 19 2012, 4:10PM|
In recent years the thermal $P(\phi)_2$-models were established in full rigour, and it is now possible to take a more detailed look at their properties.
It was shown that the correlation functions of the thermal $P(\phi)_2$-models decay exponentially in space-like directions. We conjecture that the exponential
decay of the correlation functions of the thermal $P(\phi)_2$-model implies the existence of a mass gap in the K\"all\'en-Lehmann decomposition of the thermal two-point
function. This result is relevant in the context of spontaneous symmetry breaking at positive temperature. We will also briefly comment on situation in the charged $P(\phi)_2$-model
with non-vanishing chemical potential.