Course
19R1 D. Anselmi
Theories of gravitation
Last update: October 5th 2018
PhD course – 54 hours – Videos of lectures and PDF files of slides
To be held in the first part of 2019 – Stay tuned
Program
Recent Papers

18A5 Damiano Anselmi
The correspondence principle in quantum field theory and quantum gravityWe discuss the fate of the correspondence principle beyond quantum mechanics, specifically in quantum field theory and quantum gravity, in connection with the intrinsic limitations ... (read more)

18A4 Damiano Anselmi
Fakeons, microcausality and the classical limit of quantum gravityWe elaborate on the idea of fake particle and its physical consequences. When a theory contains fakeons, the true classical limit is determined by the ... (read more)

18A3 Damiano Anselmi and Marco Piva
Quantum gravity, fakeons and microcausalityWe investigate the properties of fakeons in quantum gravity at one loop. The theory is described by a graviton multiplet, which contains the fluctuation $h_{\mu ... (read more)

18A2 Damiano Anselmi and Marco Piva
The ultraviolet behavior of quantum gravityA theory of quantum gravity has been recently proposed by means of a novel quantization prescription, which is able to turn the poles of the ... (read more)

18A1 Damiano Anselmi
Fakeons and LeeWick modelsThe “fakeon” is a fake degree of freedom, i.e. a degree of freedom that does not belong to the physical spectrum, but propagates inside the ... (read more)

17A3 Damiano Anselmi
On the quantum field theory of the gravitational interactionsWe study the main options for a unitary and renormalizable, local quantum field theory of the gravitational interactions. The first model is a LeeWick superrenormalizable ... (read more)

17A2 Damiano Anselmi and Marco Piva
Perturbative unitarity of LeeWick quantum field theoryWe study the perturbative unitarity of the LeeWick models, formulated as nonanalytically Wick rotated Euclidean theories. The complex energy plane is divided into disconnected regions ... (read more)

17A1 Damiano Anselmi and Marco Piva
A new formulation of LeeWick quantum field theoryThe LeeWick models are higherderivative theories that are claimed to be unitary thanks to a peculiar cancelation mechanism. In this paper, we provide a new ... (read more)

16A3 Damiano Anselmi
Algebraic cutting equationsThe cutting equations are diagrammatic identities that are used to prove perturbative unitarity in quantum field theory. In this paper, we derive algebraic, upgraded versions ... (read more)

16A2 Ugo G. Aglietti and Damiano Anselmi
Inconsistency of Minkowski higherderivative theoriesWe show that Minkowski higherderivative quantum field theories are generically inconsistent, because they generate nonlocal, nonHermitian ultraviolet divergences, which cannot be removed by means of ... (read more)

16A1 Damiano Anselmi
Aspects of perturbative unitarityWe reconsider perturbative unitarity in quantum field theory and upgrade several arguments and results. The minimum assumptions that lead to the largest time equation, the ... (read more)

15A4 Damiano Anselmi
Background field method and the cohomology of renormalizationUsing the background field method and the BatalinVilkovisky formalism, we prove a key theorem on the cohomology of perturbatively local functionals of arbitrary ghost numbers, ... (read more)

15A3 Damiano Anselmi
Some reference formulas for the generating functions of canonical transformationsWe study some properties of the canonical transformations in classical mechanics and quantum field theory and give a number of practical formulas concerning their generating ... (read more)

15A2 Damiano Anselmi
AdlerBardeen theorem and cancellation of gauge anomalies to all orders in nonrenormalizable theoriesWe prove the AdlerBardeen theorem in a large class of general gauge theories, including nonrenormalizable ones. We assume that the gauge symmetries are general covariance, ... (read more)

15A1 Damiano Anselmi
Ward identities and gauge independence in general chiral gauge theoriesUsing the BatalinVilkovisky formalism, we study the Ward identities and the equations of gauge dependence in potentially anomalous general gauge theories, renormalizable or not. A ... (read more)
Chiral dimensional regularization
15A1 Damiano Anselmi
Ward identities and gauge independence in general chiral gauge theories
Using the BatalinVilkovisky formalism, we study the Ward identities and the equations of gauge dependence in potentially anomalous general gauge theories, renormalizable or not. A crucial new term, absent in manifestly nonanomalous theories, is responsible for interesting effects. We prove that gauge invariance always implies gauge independence, which in turn ensures perturbative unitarity. Precisely, we consider potentially anomalous theories that are actually free of gauge anomalies thanks to the AdlerBardeen theorem. We show that when we make a canonical transformation on the treelevel action, it is always possible to rerenormalize the divergences and refinetune the finite local counterterms, so that the renormalized $\Gamma $ functional of the transformed theory is also free of gauge anomalies, and is related to the renormalized $\Gamma $ functional of the starting theory by a canonical transformation. An unexpected consequence of our results is that the beta functions of the couplings may depend on the gaugefixing parameters, although the physical quantities remain gauge independent. We discuss nontrivial checks of highorder calculations based on gauge independence and determine how powerful they are.
Phys. Rev. D 92 (2015) 025027  DOI: 10.1103/PhysRevD.92.025027
Search this site
Support Renormalization
If you want to support Renormalization.com you can spread the word on social media or make a small donation
Book
14B1 D. Anselmi
Renormalization
Last update: May 9th 2015, 230 pages
Contents: Preface  1. Functional integral  2. Renormalization  3. Renormalization group  4. Gauge symmetry  5. Canonical formalism  6. Quantum electrodynamics  7. NonAbelian gauge field theories  Notation and useful formulas  References
Course on renormalization, taught in Pisa in 2015. (More chapters will be added later.)
Sections
 Unitarity of quantum field theory (11)
 Fakeons (6)
 Renormalization of general gauge theories (14)
 Fieldcovariant quantum field theory (4)
 AdlerBardeen theorem (5)
 Quantum gravity (20)
 Lorentz violating quantum field theory (8)
 Background field method (3)
 Infinite reduction of couplings (4)
 Renormalization group (14)
 Regularization (5)
 Conformal field theory (20)
 Topological field theory (5)
 Instantons (4)
 Field redefinitions (4)
 Dimensional regularization (5)
Most used tags
Logo
Cite papers of this site as follows:
Auths, Title, 'year'A'num' Renorm
For example:
D. Anselmi, Master functional and proper formalism for quantum gauge field theory, 12A3 Renorm
Cite books as
Auths, Title, 'year'B'num' Renorm
Cite reviews as
Auths, Title, 'year'R'num' Renorm
Cite proceedings as
Auths, Title, 'year'P'num' Renorm
Cite theorems as
Auths, Title, Theorem 'year'T'num' Renorm
Cite exercises as
Auths, Title, Exercise 'year'E'num' Renorm
You may also want to add links as shown
Search documents
Archive
 October 2018
 September 2018
 June 2018
 March 2018
 January 2018
 April 2017
 March 2017
 January 2017
 December 2016
 June 2016
 November 2015
 January 2015
 August 2014
 May 2014
 February 2014
 November 2013
 May 2013
 March 2013
 January 2013
 September 2012
 May 2012
 January 2011
 February 2010
 April 2009
 August 2008
 May 2006
 March 2005
 February 2005
 April 2004
 September 2003
 December 2002
 October 2002
 May 2002
 October 2001
 July 2001
 January 2001
 May 2000
 December 1999
 November 1999
 August 1999
 June 1999
 May 1999
 March 1999
 November 1998
 September 1998
 August 1998
 February 1997
 July 1996
 July 1995
 April 1995
 November 1994
 July 1994
 September 1993
 July 1993