Ph230b Homework 12 Solutions
Nick Hunter-Jones
Winter 2014
Chiral Gross-Neveu Model
The chiral Gross-Neveu model is a theory of N Dirac elds with a continuous U (1) chiral symmetry,
obtained by promoting the discrete chiral symmetry of the Gross-Neveu mod
Ph230b Homework 11 Solutions
Nick Hunter-Jones
Winter 2014
Generalized Schwinger Model
We are considering a two-dimensional U (1) gauge theory coupled to NL left and NR right fermions,
whose U (1) hypercharges satisfy anomaly cancellation. The Lagrangian
Ph230b Homework 10 Solutions
Nick Hunter-Jones
Winter 2014
2d Sine-Gordon Theory Revisited
a) Sine-Gordon theory admits a time-dependent periodic solution called a breather
(x, t) =
4
tan1
sin(t)
cosh(x)
,
where = m2 2 / and m. Recalling that the Hamilto
Ph230b Homework 9 Solutions
Nick Hunter-Jones
Winter 2014
Bose-Fermi Correspondence in 0+1 d
a) For N oscillators, the energies of the bosonic Hamiltonian HB are En = n , with the degeneracy
of the corresponding eigenspace denoted as D(n). Let nj denote t
Ph230b Homework 8 Solutions
Nick Hunter-Jones
Winter 2014
Massless 2D Fermions with Axial Coupling
Consider a system of massless fermions in 2D with an axial coupling to a background U (1) gauge
eld
L = i ( i 5 A ) .
(1)
The Dirac equation has the form i
Ph230 Final Presentations/Paper
Monday
Grant Remmen - Non-perturbative quantum hair on black holes
Jason Pollack - Zamolodchikovs c-theorem for 2d QFTs
Tristan McKinney - Anomalies in bosonization
Petr Kravchuk - Non-abelian bosonization in 2d
Zitao Wang