Workshop on Spinning Particles in Quantum Field Theory: Worldline Formalism, Higher Spins and Conformal Geometry

5 Nov 2013, 08:00 → 8 Nov 2013, 19:30 America/Mexico_City

Salón Lobeira 2 (Hotel Holiday Inn, San Cristóbal de las Casas, México)

The workshop intends to gather expert researchers and graduate students to work on connections between geometry and quantum field theory.

Conformal geometry and worldline methods have a long history, but the methods required to fully utilize these tools have only been recently fully developed. String inspired techniques have been known for some time to provide efficient alternatives to standard Feynman diagrams, these methods can now be applied to higher spin and gravitational fields via worldline spinning particle models, while methods of conformal geometry are finding many new physical applications in both an AdS/CFT setting and in studies of massive higher spin models.

Local expenses (travel within Mexico, lodging and food) for invited participants will be covered by the organization. Scientists wishing to participate with their own funding are welcome to join, upon registration. There may be limited additional funding for those without their own sources--please contact the organizers.

All participants are invited to register by August 31.

The present workshop is dedicated to the memory of Victor Manuel Villanueva Sandoval, our friend, colleague and coorganizer, who passed away on August 31, 2013, at the age of only 43. (Here is a group photo with Victor at last year School in Morelia.)

Tuesday 5 November

Welcome activity: welcome speech by Maestro Jaime Valls Esponda, rector of UNACH

Welcome activity: workshop photo

Plenary: I

1 On the Summation of Feynman Graphs in QED

Speaker: Prof. Herbert Fried (Brown University)

Slides Mex._pptx_(QED).pdf Mex._pptx_(QED).pptx

11:00 Coffe break

Plenary: II

2 N=4 Superconformal Multiparticle Mechanics

Speaker: Prof. Olaf Lechtenfeld (Hannover University)

Slides Lechtenfeld.pdf

Discussion: I

13:00 Lunch

Plenary: III

3 Superconformal Mechanics: Critical Scalings and Dualities of the 1D Sigma Models

I review recent advances in superconformal mechanics: the existence of critical scalings (constraining the admissible Lagrangians) for the finite superconformal algebras and the existence of a new type of duality (the target-target duality) of the 1D sigma models. In the light of these results the world-line superconformal theory is put into a new perspective.

Speaker: Prof. Francesco Toppan (CBPF Rio de Janeiro)

Slides Toppan.pdf

15:30 Coffe break

Plenary: IV

4 One-loop Quantum Gravity from a Worldline Perspective

Speaker: Dr Roberto Bonezzi (University of Bologna and INFN)

Slides Bonezzi.pdf

Plenary: IV+

5 Second Order Fermions

In this talk, recent advances in the second order formalism for fermions in gauge theories are studied. This framework has a direct correspondence to the Dirac formalism but allows the description of an anomalous gyromagnetic factor. Besides, due to its close resemblance of scalar theory, this model incorporates naturally fermion self-interactions. The aim of this work is to analyze the one-loop renormalization of the second order formalism for spin 1/2 fermions with arbitrary gyromagnetic factor and self-interaction couplings in QED and QCD.

Speaker: Dr Carlos Alberto Vaquera (University of Colima)

Slides Vaquera.pdf

Discussion: I (cont'd)

Wednesday 6 November

Plenary: V

6 On the Summation of Feynman Graphs in QCD

Speaker: Prof. Herbert Fried (Brown University)

Slides Fried_II.pdf Fried_II.pptx

Plenary: VI

7 Gauge Dependence of the Fermion Pole Mass. I

Speaker: Prof. Ashok Das (University of Rochester)

Slides Das_I.pdf

11:00 Coffe break

Plenary: VII

8 BGG Sequences and Physics. I

Speaker: Prof. Rod Gover (University of Auckland)

Slides https://www.math.ucdavis.edu/~wally/talks/gover/BGGnotes.pdf

Discussion: II

13:00 Lunch

Plenary: VIII

9 Supersymmetry for Particles and Strings in Various Dimensions

The canonical structure of the action for the spinning particle, the superparticle and superstring is considered. In 3+3 dimensions, a superparticle action that has manifest supersymmetry both on the world line and in the target space is given.

Speaker: Prof. Gerry McKeon (University of Western Ontario)

Slides mckeon.pdf

15:30 Coffe break

Plenary: Student I

10 Off-shell gluon amplitudes in the worldline formalism

Speaker: Mr Naser Ahmadiniaz (Michoacana University Morelia)

Slides Naser.pdf

Plenary: Student II

11 Photonic Processes in Born-Infeld Theory

Speaker: Ms Maria Anabel Trejo Espinosa (Michoacana University Morelia)

Slides Anabel.pdf

Plenary: Student III

12 Helicity amplitudes in Born-Infeld theory

Speaker: Ms Mona Arjang (Michoacana University Morelia)

Slides Mona.pdf

Plenary: Student IV

13 Finite Temperature Scalar Fields on Topologically Nontrivial Spaces

Speaker: Ms Daniela D'Ascanio (La Plata National University and IFLP)

Slides daniela.pdf

Discussion: II (cont'd)

Thursday 7 November

Plenary: IX

14 Worldline Formalism in Noncommutative Field Theory

Speaker: Prof. Pablo Pisani (La Plata National University and IFLP)

Slides Pisani.pdf

Plenary: X

15 Gauge Dependence of the Fermion Pole Mass. II

Speaker: Prof. Ashok Das (University of Rochester)

Slides Das_II.pdf

11:00 Coffe break

Plenary: XI

16 Spinning Particles and Higher Spin Fields

Speaker: Dr Emanuele Latini (University of Zurich)

Slides Latini.pdf

Workshop excursion

Friday 8 November

Plenary: XI

17 Statistical Origin of Special and Doubly Special Relativity: Path Integral Viewpoint

In this talk I will show how a Brownian motion on a short scale can originate a relativistic motion on scales that larger than particle's Compton wavelength. I start by discussing complex dynamical systems whose statistical behavior can be explained in terms of a superposition of simpler underlying dynamics ? the so-called superstatistics paradigm. Then I go on by showing that the combination of two cornerstones of contemporary physics ? namely Einstein?s special relativity and quantum-mechanical dynamics is mathematically identical (when analytically continued to Euclidean regime) to a complex dynamical system described by two interlocked processes operating at different energy scales. The combined dynamic obeys special and doubly special relativity even though neither of the two underlying dynamics does. This implies that Einstein's special relativity might well be an emergent concept in the quantum realm. To model the double-stochastic process in question, I consider quantum mechanical dynamics in a background space consisting of a number of small crystal-like domains varying in size and composition, known as polycrystalline space (or Voronoi tessellation). There, particles exhibit a Brownian motion. The observed relativistic dynamics then comes solely from a particular grain distribution in the polycrystalline space. In the cosmological context such distribution might form during the early universe?s formation. Salient issues such as Hausdorff dimensions of path-integral trajectories, connection with Feynman chessboard model and implications for quantum field theory and cosmology (leptogenesis) will be also briefly discussed.

Speaker: Prof. Petr Jizba (Czech Technical University of Prague)

Slides Jizba.pdf

Plenary: XII

18 Positive Energy Conditions with Worldline Numerics

Speaker: Dr Idrish Huet

Slides Huet_I.pdf

11:00 Coffe break

Plenary: XIII

19 BGG Sequences and Physics. II

Speaker: Prof. Rod Gover (University of Auckland)

Discussion: III

13:00 Lunch

Plenary: XIV

20 The QED Effective Action, a Full Mass-range Analysis

Speaker: Dr Adolfo Huet (UNAM Queretaro)

Slides Huet_A.pdf

15:30 Coffe break

Plenary: Student V

21 Scalar Bound States in the Worldline Formalism

Speaker: Mr Ravindra Thakur (Michoacana University Morelia)

Slides Ravindra.pdf

Plenary: Student VI

22 Quantum Field Theoretical Description of Excitonic Transitions in Graphene

Speaker: Mr Saul Fernando Hernandez Ortiz (Michoacana University Morelia)

Slides Saul.pdf

Plenary: Student VII

23 Chiral quark condensates in QCD at finite temperature

Speaker: Mr Ahmad Aftab (Michoacana University Morelia)

Slides aftabchiapas.pdf

Plenary: Student VIII

24 Quarks, Pions and Schwinger-Dyson Equations

Speaker: Mr Kephani Raya (Michoacana University Morelia)

Slides Khépani.pdf

Discussion: III (cont'd)

Concluding remarks