Further Reading
25
• J. Gomis, J. Paris and S. Samuel, “Antibracket, antifields and gauge-theory
quantization, Physics Reports”, Volume 259, 1995, and
• M. Alexandrov, A. Schwarz, O. Zaboronsky and M. Kontsevich, “The geometry
of the master equation and topological quantum field theory”, Int. J. Mod. Phys.
A 12, 1405 (1997),
or, for a more mathematically minded reader,
• A. Cattaneo and N. Moshayedi, “Introduction to the BV-BFV formalism”,
arXiv:1905.08047.
Although we do not pursue this avenue in this book, it is possible to formulate
Yang-Mills theory and gravity on the world-line with (extended) world-line supersymmetry, see:
• P. Dai, Y. Huang and W. Siegel, “Worldgraph approach to Yang-Mills amplitudes
from N = 2 spinning particle”, JHEP 0810 (2008) 027
for Yang-Mills theory, and
• R. Bonezzi, A. Meyer and I. Sachs, “Einstein gravity from the N = 4 spinning
particle”, JHEP 1810, 025 (2018)
for gravity. There are many textbooks explaining the diagrammatic evaluation of
scattering amplitudes. A popular reference for physicists is:
• M.E. Peskin and D.V. Schroeder, “An introduction to quantum field theory”,
Westview Press, 2015.
The minimal model construction as a direct application of the homological perturbation lemma is discussed in:
• M. Doubek, B. Jurˇ co and J. Pulmann, “Quantum L ∞ -algebras and the homological perturbation lemma”, Commun. Math. Phys. 367(1), (2019) 215–240.
25
• J. Gomis, J. Paris and S. Samuel, “Antibracket, antifields and gauge-theory
quantization, Physics Reports”, Volume 259, 1995, and
• M. Alexandrov, A. Schwarz, O. Zaboronsky and M. Kontsevich, “The geometry
of the master equation and topological quantum field theory”, Int. J. Mod. Phys.
A 12, 1405 (1997),
or, for a more mathematically minded reader,
• A. Cattaneo and N. Moshayedi, “Introduction to the BV-BFV formalism”,
arXiv:1905.08047.
Although we do not pursue this avenue in this book, it is possible to formulate
Yang-Mills theory and gravity on the world-line with (extended) world-line supersymmetry, see:
• P. Dai, Y. Huang and W. Siegel, “Worldgraph approach to Yang-Mills amplitudes
from N = 2 spinning particle”, JHEP 0810 (2008) 027
for Yang-Mills theory, and
• R. Bonezzi, A. Meyer and I. Sachs, “Einstein gravity from the N = 4 spinning
particle”, JHEP 1810, 025 (2018)
for gravity. There are many textbooks explaining the diagrammatic evaluation of
scattering amplitudes. A popular reference for physicists is:
• M.E. Peskin and D.V. Schroeder, “An introduction to quantum field theory”,
Westview Press, 2015.
The minimal model construction as a direct application of the homological perturbation lemma is discussed in:
• M. Doubek, B. Jurˇ co and J. Pulmann, “Quantum L ∞ -algebras and the homological perturbation lemma”, Commun. Math. Phys. 367(1), (2019) 215–240.