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Q5: Effective actions

Principal Investigators: Wipf, Gies

The effective action is a universal tool of quantum field theory and quantum statistics. As generating functional for vertex functions it determines the dynamics of field expectation values. It encodes the effects of quantum fluctuations into a macroscopic language that is directly linked to physical observables. In the euclidean formulation it becomes the free energy for a given macroscopic field and determines thermal expectation values. The calculation of effective actions is a central problem in quantum field theory.

further information (german)

Examples of Ph.D. topics

  1. Fluktuationsinduzierte effektive Wirkungen für Quantenfeldtheorien mit Gravitation
  2. Weltlinienmethoden für effektive Wirkungen auf gekrümmten Räumen
  3. Higgs-Massen-Schranken aus effektiven Potentialen des Standardmodells und Erweiterungen


H. Gies, B. Knorr, S. Lippoldt, F. Saueressig
Gravitational Two-Loop Counterterm Is Asymptotically Safe
Phys. Rev. Lett. 116, 211302

B. Knorr
Ising and Gross-Neveu model in next-to-leading order
Phys. Rev. B94, 245102

J.Borchardt, B. Knorr
Solving function flow equations with pseudospectral methods
Phys.Rev. D94, no. 2, 025027

N. Christiansen, B. Knorr, J. Meibohm, J. M. Pawlowski, M. Reichert
Local quantum gravity
Phys. Rev. D92, 121501(R)

J.Borchardt, B. Knorr
Global solutions of functional fixed point equations via pseudospectral methods
Phys. Rev. D91, no.10, 105011 Erratum: Phys.Rev. D93, no.8, 089904 (Apr 2016)

B. Döbrich, A. Eichhorn
Can we see quantum gravity? Photons in the asymptotic safety scenario
arXiv: 1203.6366 Mar 2012

B. Döbrich, H. Gies, N. Neitz, F. Karbstein
Magnetically amplified tunneling of the 3rd kind as a probe of minicharged particles
arXiv:1203.2533 [hep-ph], Mar 2012

M. Schäfer, I. Huet, H. Gies
Energy-Momentum Tensors with Worldline Numerics
arXiv:1112.0469 [hep-th], Dec 2011

F. Karbstein, L. Roessler, B. Döbrich, H. Gies
Optical probes of the quantum vacuum: The photon polarization tensor in external fields
arXiv:1111.5984 [hep-ph], Nov 2011

B. Wellegehausen, A. Wipf, C. Wozar
Casimir Scaling and String Breaking in G(2) Gluodynamics
Phys.Rev. D83 (2011) 016001 arXiv:1006.2305 [hep-lat], Jun 2010

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