Gerhard Mack

Publikationen

1.
H. A. Kastrup, G. Mack, A method for determining the electromagnetic form factors of nucleons by cosmic ray experiments, Phys. Letters 22 (1966) 331

2.
G. Mack, High momentum transfer behavior of the electromagnetic form factor of the nucleon, Phys. Rev. 154 (1967) 1617

3.
G. Mack, Partially conserved dilatation current, Dissertation Bern 1967, short extract Nucl. Phys. B5 (1968) 499

4.
G. Mack, A meson bremsstrahlung model taking phase space into account, Phys. Letters 26B (1968) 515

5.
G. Mack, Abdus Salam, Finite component field representations of the conformal group, Ann. Phys. (N.Y.) 53 (1969) 174

6.
G. Mack, I.Todorov, Irreducibility of the ladder representations of U (2, 2) when restricted to the Poncar´e subgroup, J. Math. Phys. 10 (1969) 2078

7.
G.J. Iverson, G. Mack, Theory of weak interactions with “continuous spin” neutrinos, Phys. Rev. D2 (1970) 2326

8.
G.J. Iverson, G. Mack, E2-parametrization of SL (2, C), J. Math. Phys. 11 (1970) 1581

9.
G.J. Iverson, G. Mack, Quantum fields and interactions of massless particles: the continuous spin case, Ann. Phys. (N.Y.) 64 (1971) 211

10.
G. Mack, Universality of deep inelastic lepton hadron scattering, Phys. Rev. Letters 25 (1970) 400

11.
G. Mack, The scaling law of electroproduction as a consequence of broken dilatation symmetry, Nucl. Phys. B35 (1971) 592

12.
G. Mack, Fixed poles and light cone singularities, Phys. Letters 35B (1971) 234

13. G. Mack, Does the brain have symmetry? I. Vision, report CTS-B-71-2 (Center for Theoretical Studies, Coral Gables) 1971
14.
G. Mack, I. Todorov, Conformal invariant Green functions without ultraviolet divergences, Phys. Rev. D8 (1971) 1764

15.
G. Mack, K. Symanzik, Currents, stress energy tensor and generalized unitarity in conformal invariant quantum field theory, Commun. Math. Phys. 27 (1972) 247

16.
G. Mack, Expansions around canonical dimensions in conformal invariant quantum field theory, Bern preprint April 1972 (unpublished)

17.
G. Mack, Conformal invariance and short distance expansions in quantum field theory, Lecture Notes in Physics 17 (1973) 300, Springer Verlag Heidelberg

18.
G. Mack, Group theoretical approach to conformal invariant quantum field theory, J. de physique 34 C1 (Suppl. No. 10) (1973) 99 and in Renormalization and invariance in quantum field theory, E.R. Caianello (ed) Plenum Press New York 1974

19.
G. Mack, Osterwalder Schrader positivity in conformal invariant quantum field theory, Lecture Notes in Physics 37 (1975) 66

20.
M. Lüscher, G. Mack, Global conformal invariance, Commun. Math. Phys. 41 (1975) 203

 

21.
G. Mack, On Blattners formula for the discrete series representations of SO(2n, 1), J. Functional Analysis 23 (1976) 311

22.
G. Mack, Conformal invariant quantum field theory in: New developments in quantum field theory and statistical mechanics (NATO ASI, Carg`ese 1976) Plenum Press New York 1976

23.
G. Mack, Duality in quantum field theory, Nucl. Phys. B118 (1977) 445

24.
G. Mack, Convergence of operator pproduct expansions on the vacuum in conformal invariant quantum field theory, Commun. Math. Phys. 53 (1977) 155

25.
V.K. Dobrev, G. Mack, V.B. Petkova, S.G. Petrova, I.T. Todorov, Harmonic analysis on the n-dimensional Lorentz group and its application to conformal quantum field theory, Lecture Notes in Physics 63, Springer Verlag Heidelberg 1977

 

26.
V.K. Dobrev, G. Mack, V.B. Petkova, S.G. Petrova, I.T. Todorov, On Clebsch Gordan expansions for the Lorentz group in n dimensions, Reports on Math. Phys. 9 (1976) 219

27.
G. Mack, All unitary ray representations of the conformal group SU(2,2) with positive energy, Commun. Math. Phys. 55 (1977) 1

28. M. Lüscher, G. Mack, The energy momentum tensor of critical field theories in 1+1 dimensions, 1977 (unpublished manuscript)

29.
G. Mack, Quark and color confinement through dynamical Higgs mechanism, DESY 77/58, Aug. 1977

30.
G. Mack, Colour screening and quark confinement, Phys. Letters 79B (1978) 263

31.
G. Mack, V.B. Petkova, Comparison of lattice gauge theory with gauge group Z2 and SU (2), Ann. Phys. (N.Y.) 123 (1978) 442

32.
G. Mack, V.B. Petkova, Sufficient condition for confinement of static quarks by a vortex condensation mechanism, Ann. Phys. (N.Y.) 125 (1979) 117

33.
G. Mack, V.B. Petkova, Z2 -monopoles in the standard SU (2)-lattice gauge theory model, DESY 79/22 (Apr. 79) and Z. Physik C12 (1982) 177

34.
G. Mack, Lattice field theory, in: Lecture Notes in Physics 153 (1982) Springer Verlag Heidelberg

35.
G. Mack, Confinement of static quarks in 2-dimensional lattice gauge theories, Commun. Math. Phys. 65 (1979) 91

36.
G. Mack, Properties of lattice gauge theory models at low temperatures, in: Recent developments in gauge theories (NATO ASI Carg`ese 1979), G. ’t Hooft et al (eds), Plenum Press New York 1980

37.
G. Mack, Predictions of a theory of quark confinement, Phys. Rev. Letters 45 (1980) 1378

38.
G. Mack, Quark confinement in lattice gauge theory, Acta Physica Austriaca, Suppl. XXII (1980) 509

39.
G. Mack, E. Pietarinen, Test of some current ideas in quark confinement physics by Monte Carlo simulations for finite lattices, Phys. Letters 94B(1980) 397

40.
G. Mack, Physical principles, geometrical aspects and locality of gauge field theories, Fortschritte der Physik 81 (1981) 135

41.
M. Göpfert, G. Mack, Iterated Mayer expansions for classical gases at low temperatures, Commun. Math. Phys. 81 (1981) 97

 

42.
M. Göpfert, G. Mack, Proof of confinement in 3-dimensional U (1) lattice gauge theory for all values of the coupling constant, Commun. Math. Phys. 82 (1982) 545

 

43.
G. Mack, H. Meyer, A disorder parameter that tests for confinement in gauge theories with quark fields, Nucl. Phys. B200[FS4] (1982) 249

44.
G. Mack, E. Pietarinen, Monopoles, vortices and confinement, Nucl. Phys. B205[FS5] (1982) 141

45.

M. Göpfert, G. Mack, Renormalization group aspects of 3-dimensional pure U (1) lattice gauge theory, in: Structural elements in particle physics and statistical mechanics, J. Honerkamp et al (eds.), Plenum Press New York 1983

 

46.
M. Karliner, G. Mack, Mass gap and string tension in QED3 : Comparison of theory and Monte Carlo simulations, Nucl. Phys. 225[FS9] (1983) 371

 

47.
G. Mack, Nonperturbative methods, Lecture Notes in Physics 181 (1983) 35

48.
G. Mack, Renormalization group and Mayer expansions, in: Progress in gauge field theory (NATO ASI Carg`ese 1983), G. ’t Hooft et al (eds), Plenum Press New York 1983

49.
G. Mack, Dielectric lattice gauge theory, Nucl. Phys. B235[FS11] (1984) 197

50.
G. Mack, A. Pordt, Convergent perturbation expansions for Euclidean quantum field theories, Commun. Math. Phys. 97 (1985) 267

51.
G. Mack, K. Pinn, Restrictions of effective dielectric lattice gauge theory actions from their analytic properties, DESY 86-127 (1986)

52.
G. Mack, K. Pinn, A Monte Carlo procedure for Hamiltonians with small nonlocal correction terms, Phys. Letters 137 (1986) 434

53.
G. Mack, Introduction to conformal invariant quantum field theories in two and more dimensions, in: Nonperturbative quantum field theory, (NATO ASI Carg`ese 1987) G. ’t Hooft et al (eds), Plenum Press New York 1988

54.
G. Mack, Multigrid methods in quantum field theory in: Nonperturbative quantum field theory G. ’t Hooft et al (eds) Plenum Press New York 1988

55.
D. Buchholz, G. Mack, I. Todorov, The current algebra on the circle as a germ of local field theories Nucl. Phys. (Proc. Suppl) 5B (1988) 20-56

56.
G. Mack, A. Pordt, Convergent weak coupling expansions for lattice field theories that look like perturbation series Rev. Math. Physics 1 (1989) 47-87

57.
G. Mack, S. Meyer, The effective action from multigrid Monte Carlo Nucl. Phys. (Proc. Suppl.) 17 (1990) 293

58.
G. Mack, V. Schomerus, Endomorphisms and quantum symmetry of the conformal Ising model in: Algebraic theory of superselection sectors, D. Kastler (ed) World Scientific Singapore 1990

59.
G. Mack, V. Schomerus, Conformal field algebras with quantum symmetry from the theory of superselection sectors Commun. Math. Phys. 134 (1990) 139

60.
D. Buchholz, G. Mack, R. Paunov, I. Todorov, An algebraic approach to the classification of local conformal field theories, Proc. Math. Physics Conference, Swansea 1988

61.
M. Hasenbusch, S. Meyer und G. Mack, Noncritical multigrid Monte Carlo: O(3) nonlinear a-model, Nucl.Phys.B (Proc.Suppl.) 20 (1991),110

62.
G. Mack, V. Schomerus, Quasi Hopf quantum symmetry in quantum theory Nucl. Phys 370 (1992) 185

63.
G. Mack, V. Schomerus, Quasi quantum group symmetry and local braid relations in the conformal Ising model Phys. Letters 267 (1991) 207

64.
T. Kalkreuter, G. Mack, M. Speh, Blockspin and multigrid for staggered fermions in Non-Abelian gauge fields in Fermion algorithms H.J. Herrmann and F. Karsch (eds) World Scientific 1991

65.
G. Mack, V. Schomerus Quantum symmetry in quantum theory in: New symmetry principles in quantum field theory J. Fröhlich et al (eds) Plenum Press 1991

 

66.
G. Mack, V. Schomerus Action of truncated quantum groups on quasi quantum planes and a quasi associative differential geometry and calculus Commun. Math. Phys. 149 (1992) 513

 

67.
G. Mack, V. Schomerus Quantensymmetrie in der Quantentheorie Phys. Blätter 49 (1993) 883 

 

68.
G. Mack, V. Schomerus, Quantum symmetry for pedestrians DESY-9253 (Nov. 1992)

69.
D. Buchholz, G. Mack, I. Todorov, Localized automorphisms of the current algebra on the circle: An instructive example in: Algebraic theory of superselection sectors D. Kastler (ed) World Scientific Singapore 1990

70.
T. Kalkreuter, G. Mack, G. Palma, M. Speh, Effective field theories in: Lecture Notes in Physics 409 Springer Verlag 1992

71.
G. Mack, Conformal symmetry and quantum space time, Salamfest proceedings, World Scientific Singapore 1994

72.
G. Mack, V. Schomerus, Models of quantum space time: quantum field planes, Proc. Caribbean school, Guadeloupe June 1993

73.
G. Mack, V. Schomerus, A short introduction to quantum symmetrty J. Geom. Phys. 11 (1993) 361

 

74.
M. Bäker, T. Kalkreuter, G. Mack, M. Speh, Neural multigrid for gauge theories and other disordered systems, Int. J. Mod. Phys. C4 (1993) 239

 

75.
M. Bäker, G. Mack, M. Speh, Neural Multigrid for Disordered Systems: Lattice Gauge Theory as Example in: Handbook of Neural Computation, IOP Publishing Ltd and Oxford University Press, 1996

 

76.
M. Bäker, G. Mack, and M. Speh, Multigrid meets neural nets, Nucl. Phys. B (Proc. Suppl.)30 (1993) 269

 

77.
G. Mack, Universal dynamics of complex adaptive systems: Gauge theory of things alive DESY-94-075 (Apr 94)

78.
G. Mack, Gauge theory of things alive and universal dynamics DESY 94-184 (Oct. 94), short version in Nucl. Phys. (Proc. Suppl.) B42 (1995) 923

79.
U. Kerres, G. Mack, G. Palma, A selfconsistent study of of the phase transition in the scalar elektroweak theory at finite temperature Nucl. Phys. (Proc. Suppl.) 42 (1995) 584

80.
U. Kerres, G. Mack, G. Palma, Perfect 3-dimensional lattice actions for 4-dimensional quantum field theories at finite temperatures, Nucl. Phys. B467 (1996) 510

81.
M. Griessl, G. Mack, G. Palma, Y. Xylander, Self-consistent Calculation of Real Space Renormalization Group Flows and Effective Potentials, Nucl. Phys. B477 (1996) 878

 

82.
G. Mack, Theorie des Lebendigen in: Komplexe Adaptive Systeme (S. Bornholdt, P. Feindt, eds) R¨oll Verlag 1996

 

83.
G. Mack, Gauge Theory of things alive: Universal Dynamics as a tool in Parallel Computing, Suppl. Progr. Theor. Physics (Kyoto) 122 (1996) 201

84.
G. Mack, Pushing Einsteins principles to the extreme in: G t’Hooft et al (eds), Quantum Fields and Quantum Space Time, NATO ASI vol B364 Plenum Press, New York 1997

85.
G. Mack, Emergent behavior: a case of order vs. disorder, (1998), unpublished

86.
G. Mack, To gauge theory from a minimum of a priori structure, Proc. Steklov Math. Institute 226 (1999) 208-216

87.
M. Meier-Schellersheim, G. Mack, SIMMUNE, a tool for simulating and analyzing Immune System behavior, DESY 99-034, March 1999, submitted for publication to Bull. Math. Biology e-print arXiv: cs.MA/9903017

88.
G. Mack, J. Würthner, Life in Silico -Simulations of Complex Systems by Enzymatic Computation, DESY report 00-147, Oct 2000, e-print arXiv: physics/0011020

89.
M. Bartels, G. Mack, G. Palma, Analytic calculation of the 1-loop effective action for the O(N + 1)-symmetric 2-dimensional nonlinear amodel, Nucl. Phys. B612 [FS] (2001) 413-445

90.
G. Mack, Universal dynamics, a Unified Theory of Complex Systems. Emergence, Life and Death, Commun. Math. Phys. 219 (2001) 141-178, e-print arXiv: hep-th/0011074

91.
C. Lehmann, G. Mack, T. Prüstel, Origin of quark masses and Kobayashi Maskawa matrix in a gauge theory with nonunitary parallel transporters, e-print arXiv: hep-ph/0305331, 2003

 

92.
G. Mack, M. de Riese, Simple space time symmetries: Generalizing conformal field theory, J. Math. Phys. 48, 052304 (2007)(21 pages), e-print arXiv: hep-th/0410277 (2004)

93.
C. Lehmann, G. Mack, Gauge theories with nonunitary parallel transporters: A soluble Higgs model, Eur.Phys.J. C39 483-497 (2005)

94.
G. Mack, G. Palma, L. Vergara, Corrections to Universal Fluctuations in Correlated Systems: the 2D XY-Model, Phys. Rev. E (in press) arXiv: cond-mat/0506713 (2005)

95.
G. Mack, T. Prüstel, Generalized gauge theories with nonunitary parallel transport: General relativity with cosmological constant as an example, Eur.Phys.J. C46 255-267 (2006)

 

96.
G. Mack, J. Würthner, System Class Laboratory , a software package for modelling and simulating complex systems. Not yet released

 

97.
G. Mack, D-independent representation of Conformal Field Theories in D dimensions via transformation to auxiliary Dual Resonance Models, arXiv:0907:2407 (2009)

98.
G. Mack, D-dimensional Conformal Field Theories with anomalous dimensions as Dual Resonance Models, arXiv:0909.1024 (2009) to appear in Bulg. J. Physics

99.
G. Mack, Was die Welt im Innersten zusammenhält, erscheint im Programmheft der Faust I/II Inszenierung Thalia Theater Hamburg (2011)

 

100.

G. Mack, S. Wallentowitz, P. E. Toschek, Decoherence in Generalized Measurement and the Quantum Zeno Paradox, Physics Reports 540 (2014) 1-23

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