thesis.bbl

\begin{thebibliography}{10}

\bibitem{Schwinger1962}
J.~Schwinger.
\newblock Gauge invariance and mass. {II}.
\newblock {\em Physical Review}, 128(5):2425--2429, Dec 1962.

\bibitem{Lowenstein1971}
J.~H. Lowenstein and J.~A. Swieca.
\newblock {Quantum electrodynamics in two dimensions}.
\newblock {\em Annals of Physics}, 68(1):172--195, 1971.

\bibitem{Bertlman}
C.~Adam, R.~A. Bertlmann, and P.~Hofer.
\newblock {Overview on the anomaly and Schwinger term in two-dimensional QED}.
\newblock {\em La Rivista Del Nuovo Cimento Series 3}, 16(8):1--52, 1993.

\bibitem{abdalla}
E.~Abdalla, M.~C.~B. Abdalla, and K.~D. Rothe.
\newblock {\em Non-perturbative methods in 2 dimensional quantum field theory}.
\newblock World Scientific, Singapore River Edge, NJ, 2001.

\bibitem{Coleman1976}
S.~Coleman.
\newblock {More about the massive Schwinger model}.
\newblock {\em Annals of Physics}, 101(1):239--267, sep 1976.

\bibitem{Bell1969}
J.~S. Bell and R.~Jackiw.
\newblock A {PCAC} puzzle: {$\pi_0\rightarrow\gamma\gamma$} in the
  {$\sigma$}-model.
\newblock {\em Il Nuovo Cimento A}, 60(1):47--61, mar 1969.

\bibitem{Adler}
S.~L. Adler.
\newblock Axial-vector vertex in spinor electrodynamics.
\newblock {\em Phys. Rev.}, 177:2426--2438, Jan 1969.

\bibitem{Schwartz}
M.~D. Schwartz.
\newblock {\em Quantum Field Theory and the Standard Model}.
\newblock Cambridge University Press, 2013.

\bibitem{Fujikawa1980}
K.~Fujikawa.
\newblock {Erratum: Path integral for gauge theories with fermions (Physical
  Review D)}.
\newblock {\em Physical Review D}, 22(6):1499, sep 1980.

\bibitem{Atiyah1963}
M.~F. Atiyah and I.~M. Singer.
\newblock The index of elliptic operators on compact manifolds.
\newblock {\em Bulletin of the American Mathematical Society}, 69(3):422--434,
  may 1963.

\bibitem{Sch1951}
J.~Schwinger.
\newblock On gauge invariance and vacuum polarization.
\newblock {\em Phys. Rev.}, 82:664--679, Jun 1951.

\bibitem{Heisenberg1928}
W.~Heisenberg.
\newblock {Zur Theorie des Ferromagnetismus}.
\newblock {\em Zeitschrift f{\"{u}}r Physik}, 49(9):619--636, sep 1928.

\bibitem{Bethe1931}
H.~Bethe.
\newblock Zur theorie der metalle.
\newblock {\em Zeitschrift für Physik}, 71(3-4):205--226, mar 1931.

\bibitem{Lieb1961407}
E.~Lieb, T.~Schultz, and D.~Mattis.
\newblock {Two soluble models of an antiferromagnetic chain}.
\newblock {\em Annals of Physics}, 16(3):407--466, 1961.

\bibitem{RUIJGROK1976336}
T.~W. Ruijgrok and T.~Niemeijer.
\newblock {The classical one-dimensional Heisenberg magnet in an external
  magnetic field. Transfer matrix formalism as an application of
  renormalization group theory “avant la lettre”}.
\newblock {\em Physica A: Statistical Mechanics and its Applications},
  84(2):336--349, 1976.

\bibitem{BM1}
E.~Barouch, Barry~M. McCoy, and M.~Dresden.
\newblock Statistical mechanics of the $\mathrm{XY}$ model. i.
\newblock {\em Phys. Rev. A}, 2:1075--1092, Sep 1970.

\bibitem{BM2}
E.~Barouch and B.~M. McCoy.
\newblock Statistical mechanics of the $xy$ model. ii. spin-correlation
  functions.
\newblock {\em Phys. Rev. A}, 3:786--804, Feb 1971.

\bibitem{vidal}
G.~Vidal, J.~I. Latorre, E.~Rico, and A.~Kitaev.
\newblock Entanglement in quantum critical phenomena.
\newblock {\em Phys. Rev. Lett.}, 90:227902, Jun 2003.

\bibitem{Bennett2000}
C.~H. Bennett and D.~P. DiVincenzo.
\newblock Quantum information and computation.
\newblock {\em Nature}, 404(6775):247--255, mar 2000.

\bibitem{Kogut1975}
J.~B. Kogut and L.~Susskind.
\newblock {Hamiltonian formulation of Wilson's lattice gauge theories}.
\newblock {\em Physical Review D}, 11(2):395--408, 1975.

\bibitem{Susskind1977}
L.~Susskind.
\newblock {Lattice fermions}.
\newblock {\em Physical Review D}, 16(10):3031--3039, nov 1977.

\bibitem{Banks}
T.~Banks, L.~Susskind, and J.~Kogut.
\newblock Strong-coupling calculations of lattice gauge theories: (1 +
  1)-dimensional exercises.
\newblock {\em Phys. Rev. D}, 13:1043--1053, Feb 1976.

\bibitem{Byrnes2002}
T.~M.~R. Byrnes, P.~Sriganesh, R.~J. Bursill, and C.~J. Hamer.
\newblock {Density matrix renormalisation group approach to the massive
  Schwinger model}.
\newblock {\em Nuclear Physics B - Proceedings Supplements}, 109(1):202--206,
  2002.

\bibitem{Hamer1997}
C.~J. Hamer, Z.~Weihong, and J.~Oitmaa.
\newblock {Series expansions for the massive Schwinger model in Hamiltonian
  lattice theory}.
\newblock {\em Physical Review D - Particles, Fields, Gravitation and
  Cosmology}, 1997.

\bibitem{Weinberg2017}
P.~Weinberg and M.~Bukov.
\newblock {QuSpin: a Python Package for Dynamics and Exact Diagonalisation of
  Quantum Many Body Systems. Part I: spin chains}.
\newblock 2017.

\bibitem{Weinberg2018}
P.~Weinberg and M.~Bukov.
\newblock {QuSpin: a Python Package for Dynamics and Exact Diagonalisation of
  Quantum Many Body Systems. Part II: bosons, fermions and higher spins}.
\newblock 2018.

\bibitem{arpack}
R.~B. Lehoucq, D.~C. Sorensen, and C.~Yang.
\newblock {\em Arpack User's Guide: Solution of Large-Scale Eigenvalue Problems
  With Implicityly Restorted Arnoldi Methods}.
\newblock Society for Industrial and Applied, 1998.

\end{thebibliography}