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Topological or deconfined phases are characterized by emergent, weakly fluctuating, gauge fields. In condensed matter settings they inevitably come coupled to excitations that carry the corresponding ...
On topological field theory representation of higher analogs of classical special functions
field theory representation higher analogs classical special functions
2010/12/22
Previously, in the course of a construction of a quantum field theory model for Archimedean algebraic geometry a class of infinite-dimensional representations of special functions such as Whittaker fu...
Two-dimensional topological field theories as taffy
Two-dimensional topological field theories taffy
2010/12/22
In this paper we use trivial defects to define global taffy-like operations on string worldsheets, which preserve the field theory. We fold open and closed strings on a space X into open strings on p...
Topological Pions
Topological Pions standard model
2010/3/16
We study the collider signatures of new pions, composite particles which emerge from a TeV-scale, confining gauge theory with vector-like matter. Similar to the neutral pion in QCD, these new pions ma...
Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED)
axial-vector current Ward-Takahashi identity anomaly Atiyah-Singer index theorem
2009/8/13
A topological way to distinguish divergences of the Abelian axial-vector current in quantum field theory is proposed. By using the properties of the Atiyah-Singer index theorem, the non-trivial Jacobi...
Topological phase in two flavor neutrino oscillations
Topological phase two flavor neutrino oscillations
2010/4/12
We show that the phase appearing in neutrino flavor oscillation formulae has a geometric and topological contribution. We identify a topological phase appearing in the two flavor neutrino oscillation ...