Christof Wetterich

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Christof Wetterich
Wetterich 2.jpg
Born1952
Alma mater Freiburg University
Known for Functional renormalization, quintessence, Wetterich equation
AwardsMax-Planck Research Prize (2005)
Scientific career
Fields Theoretical physics
Institutions Heidelberg University
Thesis Are Quarks and Leptons Composite States?  (1979)
Doctoral advisor Qaisar Shafi

Christof Wetterich (born in 1952) is a German theoretical physicist.

Contents

Biography

Born in Freiburg, Wetterich studied physics in Paris, Cologne and Freiburg, where he received his PhD in 1979. He worked at CERN in Geneva and DESY in Hamburg. Since 1992 he has a chair for theoretical physics at Ruprecht-Karls-Universität Heidelberg. His major research interests are cosmology and particle physics. The development of the theoretical method of functional renormalization by Wetterich has found applications in many areas of physics, e.g. it provides a suitable framework to study quantum gravity (asymptotic safety), [1] Yang-Mills theories [2] and it was also useful in non-relativistic quantum systems like the BCS to BEC crossover where it bridges the two theories in a unified theoretical language. [3] [4]

Wetterich is best known for his proposal [5] [6] of dynamical dark energy or quintessence in 1987. This could explain the observed accelerated expansion of the Universe. He has done fundamental work for the theoretical understanding of tiny masses of neutrinos [7] [8] The method of functional renormalization relates macro physical structures to micro physical laws in a continuous way. Its modern form is based on the exact Wetterich equation. [9] [10]

Honours and awards

Wetterich received the Max-Planck Research Prize [11] in 2005. Since 2006 he is member of the Heidelberg Academy of Sciences. [12]

Related Research Articles

In physics, quintessence is a hypothetical form of dark energy, more precisely a scalar field, postulated as an explanation of the observation of an accelerating rate of expansion of the universe. The first example of this scenario was proposed by Ratra and Peebles (1988) and Wetterich (1988). The concept was expanded to more general types of time-varying dark energy, and the term "quintessence" was first introduced in a 1998 paper by Robert R. Caldwell, Rahul Dave and Paul Steinhardt. It has been proposed by some physicists to be a fifth fundamental force. Quintessence differs from the cosmological constant explanation of dark energy in that it is dynamic; that is, it changes over time, unlike the cosmological constant which, by definition, does not change. Quintessence can be either attractive or repulsive depending on the ratio of its kinetic and potential energy. Those working with this postulate believe that quintessence became repulsive about ten billion years ago, about 3.5 billion years after the Big Bang.

String field theory (SFT) is a formalism in string theory in which the dynamics of relativistic strings is reformulated in the language of quantum field theory. This is accomplished at the level of perturbation theory by finding a collection of vertices for joining and splitting strings, as well as string propagators, that give a Feynman diagram-like expansion for string scattering amplitudes. In most string field theories, this expansion is encoded by a classical action found by second-quantizing the free string and adding interaction terms. As is usually the case in second quantization, a classical field configuration of the second-quantized theory is given by a wave function in the original theory. In the case of string field theory, this implies that a classical configuration, usually called the string field, is given by an element of the free string Fock space.

Jeffrey A. Harvey is an American string theorist at the University of Chicago.

Montonen–Olive duality or electric–magnetic duality is the oldest known example of strong–weak duality or S-duality according to current terminology. It generalizes the electro-magnetic symmetry of Maxwell's equations by stating that magnetic monopoles, which are usually viewed as emergent quasiparticles that are "composite", can in fact be viewed as "elementary" quantized particles with electrons playing the reverse role of "composite" topological solitons; the viewpoints are equivalent and the situation dependent on the duality. It was later proven to hold true when dealing with a N = 4 supersymmetric Yang–Mills theory. It is named after Finnish physicist Claus Montonen and British physicist David Olive after they proposed the idea in their academic paper Magnetic monopoles as gauge particles? where they state:

There should be two "dual equivalent" field formulations of the same theory in which electric (Noether) and magnetic (topological) quantum numbers exchange roles.

Tamiaki Yoneya is a Japanese physicist.

In theoretical physics, boundary conformal field theory (BCFT) is a conformal field theory defined on a spacetime with a boundary. Different kinds of boundary conditions for the fields may be imposed on the fundamental fields; for example, Neumann boundary condition or Dirichlet boundary condition is acceptable for free bosonic fields. BCFT was developed by John Cardy.

<span class="mw-page-title-main">Édouard Brézin</span> French physicist (born 1938)

Édouard Brézin is a French theoretical physicist. He is professor at Université Paris 6, working at the laboratory for theoretical physics (LPT) of the École Normale Supérieure since 1986.

Igor R. Klebanov is an American theoretical physicist. Since 1989, he has been a faculty member at Princeton University where he is currently a Eugene Higgins Professor of Physics and the director of the Princeton Center for Theoretical Science. In 2016, he was elected to the National Academy of Sciences. Since 2022, he is the director of the Simons Collaboration on Confinement and QCD Strings.

In physics, a renormalon is a particular source of divergence seen in perturbative approximations to quantum field theories (QFT). When a formally divergent series in a QFT is summed using Borel summation, the associated Borel transform of the series can have singularities as a function of the complex transform parameter. The renormalon is a possible type of singularity arising in this complex Borel plane, and is a counterpart of an instanton singularity. Associated with such singularities, renormalon contributions are discussed in the context of quantum chromodynamics (QCD) and usually have the power-like form as functions of the momentum . They are cited against the usual logarithmic effects like .

<span class="mw-page-title-main">John Iliopoulos</span> Greek physicist

John (Jean) Iliopoulos is a Greek physicist. He is the first person to present the Standard Model of particle physics in a single report. He is best known for his prediction of the charm quark with Sheldon Glashow and Luciano Maiani. Iliopoulos is also known for demonstrating the cancellation of anomalies in the Standard model. He is further known for the Fayet-Iliopoulos D-term formula, which was introduced in 1974. He is currently an honorary member of Laboratory of theoretical physics of École Normale Supérieure, Paris.

<span class="mw-page-title-main">Francisco José Ynduráin</span> Spanish physicist (1940–2008)

Francisco José Ynduráin Muñoz was a Spanish theoretical physicist. He founded the particle physics research group that became the Department of Theoretical Physics at the Autonomous University of Madrid, where he was a Professor. He was described by his colleagues as "a scientist that always searched for excellence in research".

In physics, vector meson dominance (VMD) was a model developed by J. J. Sakurai in the 1960s before the introduction of quantum chromodynamics to describe interactions between energetic photons and hadronic matter.

<span class="mw-page-title-main">Renata Kallosh</span> Theoretical physicist

Renata Elizaveta Kallosh is a Russian-American theoretical physicist. She is a professor of physics at Stanford University, working there on supergravity, string theory and inflationary cosmology.

In theoretical physics, functional renormalization group (FRG) is an implementation of the renormalization group (RG) concept which is used in quantum and statistical field theory, especially when dealing with strongly interacting systems. The method combines functional methods of quantum field theory with the intuitive renormalization group idea of Kenneth G. Wilson. This technique allows to interpolate smoothly between the known microscopic laws and the complicated macroscopic phenomena in physical systems. In this sense, it bridges the transition from simplicity of microphysics to complexity of macrophysics. Figuratively speaking, FRG acts as a microscope with a variable resolution. One starts with a high-resolution picture of the known microphysical laws and subsequently decreases the resolution to obtain a coarse-grained picture of macroscopic collective phenomena. The method is nonperturbative, meaning that it does not rely on an expansion in a small coupling constant. Mathematically, FRG is based on an exact functional differential equation for a scale-dependent effective action.

<span class="mw-page-title-main">Asymptotic safety in quantum gravity</span> Attempt to find a consistent theory of quantum gravity

Asymptotic safety is a concept in quantum field theory which aims at finding a consistent and predictive quantum theory of the gravitational field. Its key ingredient is a nontrivial fixed point of the theory's renormalization group flow which controls the behavior of the coupling constants in the ultraviolet (UV) regime and renders physical quantities safe from divergences. Although originally proposed by Steven Weinberg to find a theory of quantum gravity, the idea of a nontrivial fixed point providing a possible UV completion can be applied also to other field theories, in particular to perturbatively nonrenormalizable ones. In this respect, it is similar to quantum triviality.

The asymptotic safety approach to quantum gravity provides a nonperturbative notion of renormalization in order to find a consistent and predictive quantum field theory of the gravitational interaction and spacetime geometry. It is based upon a nontrivial fixed point of the corresponding renormalization group (RG) flow such that the running coupling constants approach this fixed point in the ultraviolet (UV) limit. This suffices to avoid divergences in physical observables. Moreover, it has predictive power: Generically an arbitrary starting configuration of coupling constants given at some RG scale does not run into the fixed point for increasing scale, but a subset of configurations might have the desired UV properties. For this reason it is possible that — assuming a particular set of couplings has been measured in an experiment — the requirement of asymptotic safety fixes all remaining couplings in such a way that the UV fixed point is approached.

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André LeClair is a Canadian-American physicist and academic. He is a Professor at the Cornell University.

References

  1. Reuter, M. (1998-01-15). "Nonperturbative evolution equation for quantum gravity". Physical Review D. 57 (2). American Physical Society (APS): 971–985. arXiv: hep-th/9605030v1 . doi:10.1103/physrevd.57.971. ISSN   0556-2821.
  2. Reuter, M.; Wetterich, C. (1994). "Effective average action for gauge theories and exact evolution equations". Nuclear Physics B. 417 (1–2). Elsevier BV: 181–214. doi:10.1016/0550-3213(94)90543-6. ISSN   0550-3213.
  3. Diehl, S.; Gies, H.; Pawlowski, J. M.; Wetterich, C. (2007-08-01). "Flow equations for the BCS-BEC crossover". Physical Review A. 76 (2). American Physical Society (APS): 021602. arXiv: cond-mat/0701198 . doi:10.1103/physreva.76.021602. ISSN   1050-2947.
  4. Diehl, S.; Floerchinger, S.; Gies, H.; Pawlowkski, J.M.; Wetterich, C. (2010-07-19). "Functional renormalization group approach to the BCS-BEC crossover". Annalen der Physik. 552 (9). Wiley: 615–656. arXiv: 0907.2193 . doi:10.1002/andp.201010458. ISSN   0003-3804.
  5. Wetterich, C. (1988). "Cosmology and the fate of dilatation symmetry". Nuclear Physics B. 302 (4). Elsevier BV: 668–696. arXiv: 1711.03844 . doi:10.1016/0550-3213(88)90193-9. ISSN   0550-3213.
  6. The Cosmon Model for an Asymptotically Vanishing Time Dependent Cosmological "Constant", C. Wetterich, Astron. Astrophys. 301, 321 (1995), arXiv:hep-th/9408025v1
  7. Wetterich, C. (1981). "Neutrino masses and the scale of B-L violation". Nuclear Physics B. 187 (2). Elsevier BV: 343–375. doi:10.1016/0550-3213(81)90279-0. ISSN   0550-3213.
  8. Lazarides, G.; Shafi, Q.; Wetterich, C. (1981). "Proton lifetime and fermion masses in an SO(10) model". Nuclear Physics B. 181 (2). Elsevier BV: 287–300. doi:10.1016/0550-3213(81)90354-0. ISSN   0550-3213.
  9. Wetterich, Christof (1993). "Exact evolution equation for the effective potential". Physics Letters B. 301 (1). Elsevier BV: 90–94. arXiv: 1710.05815 . doi:10.1016/0370-2693(93)90726-x. ISSN   0370-2693.
  10. Berges, Jürgen; Tetradis, Nikolaos; Wetterich, Christof (2002). "Non-perturbative renormalization flow in quantum field theory and statistical physics". Physics Reports. 363 (4–6). Elsevier BV: 223–386. arXiv: hep-ph/0005122 . doi:10.1016/s0370-1573(01)00098-9. ISSN   0370-1573.
  11. There exists a short public video Archived 2012-03-22 at the Wayback Machine (German) as a film portrait to the winners in addition.
  12. Portrait at the HAW homepage