Professor Stefan Hollands
Overview
Position:
Professor
Email:
hollandss@cardiff.ac.ukTelephone: +44(0)29 208 70616
Fax: +44(0)29 208 74199
Extension: 70616
Location: M/2.31
Research Interests
Mathematical aspects of quantum field theory and (super) gravity theories.
Research Group
Mathematical Physics (Operator Algebras and Noncommutative Geometry)
Recent Significant Publications
S. Hollands and R. M. Wald, "Axiomatic quantum field theory in curved spacetime," Commun. Math. Phys. 293 (2010) 85 [arXiv:0803.2003 [gr-qc]].
S. Hollands and H. Olbermann, "Perturbative Quantum Field Theory via Vertex Algebras," 55pp J. Math. Phys. 50 (2009) 112304 [arXiv:0906.5313 [math-ph]].
S. Hollands and A. Ishibashi, "On the 'Stationary Implies Axisymmetric' Theorem for Extremal Black Holes in Higher Dimensions," Commun. Math. Phys. 291 (2009) 403 [arXiv:0809.2659 [gr-qc]].
S. Hollands and R. M. Wald, "Quantum field theory in curved spacetime, the operator product expansion, and dark energy," Gen. Rel. Grav. 40 (2008) 2051 [Int. J. Mod. Phys. D 17 (2009) 2607] [arXiv:0805.3419 [gr-qc]].
S. Hollands, "Quantum field theory in terms of consistency conditions I: General framework, and perturbation theory via Hochschild cohomology," 45pp ar- Xiv:0802.2198 [hep-th]. Published in Sigma 5 (2009), special issue on deformation quantization, eds. Cattaneo, Dito, Kontsevich, Sternheimer.
Teaching
Administrative Duties
Manager of 3rd Year Student Project Programme
Erasmus Coordinator
Member of School Management Board
Member of Research Committee
Publications
S. Hollands and R. M. Wald, "Axiomatic quantum field theory in curved spacetime," Commun. Math. Phys. 293 (2010) 85 [arXiv:0803.2003 [gr-qc]].
S. Hollands and H. Olbermann, "Perturbative Quantum Field Theory via Vertex Algebras," 55pp J. Math. Phys. 50 (2009) 112304 [arXiv:0906.5313 [math-ph]].
S. Hollands and A. Ishibashi, "On the 'Stationary Implies Axisymmetric' Theorem for Extremal Black Holes in Higher Dimensions," Commun. Math. Phys. 291 (2009) 403 [arXiv:0809.2659 [gr-qc]].
S. Hollands and R. M. Wald, "Quantum field theory in curved spacetime, the operator product expansion, and dark energy," Gen. Rel. Grav. 40 (2008) 2051 [Int. J. Mod. Phys. D 17 (2009) 2607] [arXiv:0805.3419 [gr-qc]].
S. Hollands, "Quantum field theory in terms of consistency conditions I: General framework, and perturbation theory via Hochschild cohomology," 45pp ar- Xiv:0802.2198 [hep-th]. Published in Sigma 5 (2009), special issue on deformation quantization, eds. Cattaneo, Dito, Kontsevich, Sternheimer.
S. Hollands and S. Yazadjiev, "A Uniqueness theorem for 5-dimensional Einstein- Maxwell black holes," arXiv:0711.1722 [gr-qc] Class. Quant. Grav. 25 (2008) 095010.
A. J. Amsel, T. Hertog, S. Hollands and D. Marolf, "A tale of two superpotentials: Stability and instability in designer gravity," arXiv:hep-th/0701038, Phys. Rev. D75, 084008, 2007, Erratum-ibid. D77 049903, 2008.
S. Hollands and D. Marolf, "Asymptotic generators of fermionic charges and boundary conditions preserving supersymmetry," arXiv:gr-qc/0611044, Class. Quant. Grav. 24, 2301-2332, 2007.
S. Hollands, A. Ishibashi and R. M. Wald, "A Higher Dimensional Stationary Rotating Black Hole Must Be Axisymmetric," arXiv:gr-qc/0605106, Commun. Math. Phys. 271, 699-722, 2007.
S. Hollands, "The Operator Product Expansion For Perturbative Quantum Field Theory In Curved Spacetime," arXiv:gr-qc/0605072, Commun. Math. Phys. 273, 1-36, 2007.
C. D'Antoni and S. Hollands, "Nuclearity, local quasiequivalence and split property for Dirac quantum fields in curved spacetime," arXiv:math-ph/0106028, Commun. Math. Phys. 261, 133-159 (2006).
T. Hertog and S. Hollands, "Stability in designer gravity," arXiv:hep-th/0508181, Class. Quant. Grav. 22 (2005) 5323-5342.
S. Hollands, "Quantum field theory in curved spacetime," 19pp, Prepare for Workshop on Renormalization and Universality in Mathematical Physics, Toronto, Canada, 18-22 Oct 2005.
S. Hollands, A. Ishibashi and D. Marolf, "Counter-term charges generate bulk symmetries," arXiv:hep-th/0503105, Phys. Rev. D 72 (2005) 104025.
S. Hollands, A. Ishibashi and D. Marolf, "Comparison between various notions of conserved charges in asymptotically AdS-spacetimes," arXiv:hep-th/0503045, Class. Quant. Grav. 22, 2881-2920 (2005).
R. Brunetti, K. Fredenhagen and S. Hollands, "A remark on alpha vacua for quantum field theories on de Sitter space," arXiv:hep-th/0503022, JHEP 0505, 063 (2005).
C. J. Fewster and S. Hollands, "Quantum energy inequalities in two-dimensional conformal field theory," arXiv:math-ph/0412028, Rev. Math. Phys. 17, 577 (2005).
S. Hollands and R. M. Wald, "Conservation of the stress tensor in interacting quantum field theory in curved spacetimes," [arXiv:gr-qc/0404074]. Rev. Math. Phys. 17, 227-312 (2005).
S. Hollands and A. Ishibashi, "Asymptotic flatness and Bondi energy in higher dimensional gravity," [arXiv:gr-qc/0304054], J. Math. Phys. 46, 022503 (2005).
S. Hollands and R. M. Wald, "Conformal null infinity does not exist for radiating solutions in odd spacetime dimensions," arXiv:gr-qc/0407014, Class. Quant. 2 Grav. 21, 5139-5146 (2004).
S. Hollands and R. M. Wald, "Quantum field theory is not merely quantum mechanics applied to low energy effective degrees of freedom," [arXiv:gr-qc/0405082]. Gen. Rel. Grav. 36, 2595-2603 (2004).
S. Hollands, "Algebraic approach to the 1/N expansion in quantum field theory," [arXiv:math-ph/0309042], Rev. Math. Phys. 16, 509-552 (2004).
S. Hollands, "A general PCT theorem for the operator product expansion in curved spacetime," [arXiv:gr-qc/0212028], Commun. Math. Phys. 244, 209-244 (2004).
S. Hollands and R. M.Wald, "On the renormalization group in curved spacetime," [arXiv:gr-qc/0209029], Commun. Math. Phys. 237, 123-160 (2003).
S. Hollands and R. M. Wald, "An alternative to inflation," [arXiv:gr-qc/0205058], Gen. Rel. Grav. 34, 2043-2055 (2002).
S. Hollands and R. M. Wald, "Existence of local covariant time ordered products of quantum fields in curved spacetime," [arXiv:gr-qc/0111108], Commun. Math. Phys. 231, 309-345 (2002).
S. Hollands and W. Ruan, "The state space of perturbative quantum field theory in curved space-times," [arXiv:gr-qc/0108032], Annales Henri Poincare 3, 635-657 (2002).
S. Hollands and R. M. Wald, "Local Wick polynomials and time ordered products of quantum fields in curved spacetime," [arXiv:gr-qc/0103074], Commun. Math. Phys. 223, 289-326 (2001).
S. Hollands, "Noether charges corresponding to Killing vectors for self-interacting quantum field theories in curved spacetime," [arXiv:gr-qc/0011069], Annalen Phys. 10, 859-883 (2001).
S. Hollands, "The Hadamard condition for Dirac fields and adiabatic states on Robertson-Walker spacetimes," [arXiv:gr-qc/9906076], Commun. Math. Phys. 216, 635-661 (2001).
S. Hollands and M. Muller-Preussker, "Definition of magnetic monopole numbers for SU(N) lattice gauge-Higgs models," [arXiv:hep-th/9901114], Phys. Rev. D 63, 094503 (2001).
S. Hollands and A. Ishibashi, "Asymptotic flatness at null infinity in higher dimensional gravity," arXiv:hep-th/0311178.
S. Hollands and R. M. Wald, "Comment on inflation and alternative cosmology," 14pp, arXiv:hep-th/0210001.
S. Hollands and S. Yazadjiev, "Uniqueness theorem for 5-dimensional black holes with two axial Killing fields," 21pp, arXiv:0707.2775 [gr-qc], to appear in Commun. Math. Phys.
S. Hollands, "Renormalized Quantum Yang-Mills Fields in Curved Spacetime," 140pp, arXiv:0705.3340 [gr-qc], to appear in Rev. Math. Phys.
S. Hollands and G. Leiler, "On the derivation of the Boltzmann equation in quantum field theory: Flat spacetime," 53pp arXiv:1003.1621 [cond-mat.stat-mech].
S. Hollands, J. Holland and A. Ishibashi, "Further restrictions on the topology of stationary black holes in five dimensions," 22pp arXiv:1002.0490 [gr-qc]. Submitted to Ann. H. Poincare.
S. Hollands and A. Ishibashi, "All vacuum near horizon geometries in arbitrary dimensions," 25pp arXiv:0909.3462 [gr-qc]. To appear in Class. Quant. Grav.
S. Hollands and S. Yazadjiev, "A uniqueness theorem for stationary Kaluza-Klein black holes," 38pp arXiv:0812.3036 [gr-qc]. submitted to Commun. Math. Phys.
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Research
Research Interests
My main scientific interest is in the areas of general relativiy and quantum field theory, as well as especially in the interplay between the two. General relativity is the current theory of gravitation, and its main idea is that the gravitational force ought to be thought of as the "curvature of space". Quantum field theory, on the other hand, describes quantized fields (such as the electromagnetic field) and is the formalism underlying our current understanding of elementary particles. A framework in which the two theories make contact in a very concrete way is the theory of quantized fields in curved space, and this has been the center of my interest in recent years. This theory is able to describe many exciting physical effects (fluctuations in the early Universe, black hole radiance, particle creation induced by gravity...), and its formalism also has connections to many cutting edge areas of mathematics (operator algebras, geometry, microlocal analysis, combinatorics, category theory,...). My interests are shared in part by members of the operator algebra group at Cardiff.
Postgraduate Students
Graduated (Since 2000)
Nils-Ole Walliser (Diploma, Germany)
Eric Morfa-Morales (Diploma, Germany)
Sebastian Jaeger (Diploma, Germany)
Gregor Leiler (PhD, Cardiff)
Heiner Olbermann (PhD, Cardiff)
Current
Biography
Diploma – Technical University Berlin (Germany)
PhD – University of York (UK)
Curriculum Vitae
1996
Diploma Thesis, Technical University Berlin (Germany)
1997
Humboldt University Berlin (Germany)
1997 - 2000
PhD, University of York (UK)
2000
University of Rome II (Italy)
2000 - 2004
Research Associate, University of Chicago, EFI (USA)
2004 - 2005
Research Associate, University of California at Santa Barbara (USA)
2005 - 2007
Juniorprofessor, Georg-August University Göttingen (Germany)
2007 - Present
Reader in Mathematical Physics, Cardiff University (UK)