The partition function zeroes of quantum critical points

The Lee–Yang theorem for the zeroes of the partition function is not strictly applicable to quantum systems because the zeroes are defined in units of the fugacity ehΔτ, and the Euclidean-time lattice spacing Δτ can be divergent in the infrared (IR). We recently presented analytic arguments describing how a new space-Euclidean time zeroes expansion can be defined, which reproduces Lee and Yang's scaling but avoids the unresolved branch points associated with the breaking of nonlocal symmetries such as Parity. We now present a first numerical analysis for this new zeroes approach for a quantum spin chain system. We use our scheme to quantify the renormalization group flow of the physical lattice couplings to the IR fixed point of this system. We argue that the generic Finite-Size Scaling (FSS) function of our scheme is identically the entanglement entropy of the lattice partition function and, therefore, that we are able to directly extract the central charge, c, of the quantum spin chain system using conformal predictions for the scaling of the entanglement entropy

Spontaneous Parity Violation

We disprove the Vafa-Witten theorem on the impossibility of spontaneously breaking parity in vector-like gauge field theories, identifying a mechanism driven by quantum fluctuations. With the introduction of a meromorphic Lattice formulation, defined over 5 dimensions, we demonstrate that the minima of the free energy can be distinct from the maxima of the partition function : identifying and evaluating a suitable contour for the partition function defined such that asymptotic behaviour of the complex action is non-oscillatory.Comment: 6 page

Report cards in physical education.

Thesis (Ed.M.)--Boston Universit

Analyzing Use of Thanks to You: Insights for Language Teaching and Assessment in Second and Foreign Language Contexts

This investigation of thanks to you in British and American usage was precipitated by a situation at an American university, in which a native Arabic speaker said thanks to you in isolation, making his intended meaning unclear. The study analyzes use of thanks to you in the Corpus of Contemporary American English and the British National Corpus to gain insights for English language instruction /assessment in the American context, as well as English-as-a-lingua-franca contexts where the majority of speakers are not native speakers of English or are speakers of different varieties of English but where American or British English are for educational purposes the standard varieties. Analysis of the two corpora revealed three functions for thanks to you common to British and American usage: expressing gratitude, communicating "because of you" positively, and communicating "because of you" negatively (as in sarcasm). A fourth use of thanks to you, thanking journalists/guests for being on news programs/talk shows, occurred in the American corpus only. Analysis indicates that felicitous use of thanks to you for each of these meanings depends on the presence of a range of factors, both linguistic and material, in the context of utterance

Gli2, hedgehog and TCR signalling

Editoria