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FTP Archive of all papers, preprints, thesis, reports, essays, slides etc.

Papers listed in Mathematical Reviews

Papers listed in SLAC-SPIRES
 

    Books 
  1. Heat Kernel and Quantum Gravity, 
    Lecture Notes in Physics, Series Monographs, LNP: m64 (Berlin:  Springer-Verlag,  2000); ISBN 3-540-67155-2


    2. Reviews 

  2. Mathemathical Tools for Calculation of the Effective Action in Quantum Gravity,
    in: Quantum Gravity, Ed. B. Booss-Bavnbek, G. Esposito and M. Lesch, (Berlin, Springer, 2009);
    Preprint: arXiv:0812.3363 [hep-th], 71pp,
    Citations

  3. Dirac Operator in Matrix Geometry,
    International Journal of Geometric Methods in Modern Physics, 2 (2005) 227-264
    Preprint: arXiv:math-ph/0502001, 45pp 
    Citations

  4. Heat kernel in quantum field theory,
    Nuclear Physics B - Proceedings Supplement, 104 (2002) 3-32
    Preprint: arXiv:math-ph/0107018, 67pp
    Citations

  5. Covariant techniques for computation of the heat kernel,
    Reviews in Mathematical Physics, 11 (1999), 947-980
    Preprint: arXiv:hep-th/9510206
    Citations

  6. Nonperturbative methods for calculating the heat kernel,  
    in: Global Analysis, Differential Geometry and Lie Algebras, Ed. G. Tsagas, (Bucharest, Geometry Balkan Press, 1998), pp. 7-21; 
    Preprint: arXiv:hep-th/9602169
    Citations

  7. Covariant approximation schemes for calculation of the heat kernel in quantum field theory,
    in: Quantum Gravity, Eds. V. A. Berezin, V. A. Rubakov and D. V. Semikoz (Singapore: World Scientific, 1997), pp. 61-78
    Preprint: arXiv:hep-th/9509075,
    Citations

  8. (with R. Schimming), 
    Algorithms for the calculation of the heat kernel coefficients, 
    in: Quantum Field Theory under the Influence of External Conditions, Ed. M. Bordag, Teubner-Texte zur Physik, Band 30, (Stuttgart: Teubner, 1996), pp. 150-162
    Preprint: arXiv:hep-th/9510206
    Citations

  9. New algebraic methods for calculating the heat kernel and the effective action in quantum gravity and gauge theories, 
    in: Heat Kernel Techniques and Quantum Gravity, Ed. S. A. Fulling, Discourses in Mathematics and Its Applications, (College Station, Texas: Department of Mathematics, Texas A& M University, 1995), pp. 115-140; 
    Preprint: arXiv:gr-qc/9408028
    Citations


    10. Non-Laplace Type Operators

  10. Non-Laplace type Operators on Manifolds with Boundary,
    in: Analysis, Geometry and Topology of Elliptic Operators, Papers in Honor of Krzysztof Wojciechowski, Eds. B. Booss-Bavnbek, S. Klimek, M. Lesch and W. Zhang (Singapore: World Scientific, 2006), pp. 119-152
    Preprint: arXiv:math-ph/0509023 
    Citations

  11. (with T. Branson), 
    A discrete leading symbol and spectral asymptotics for natural differential operators,  
    Journal of Functional Analysis, 190 (2002) 292-337      
    Preprint: arXiv:hep-th/0109181
    Citations

  12. (with T. Branson), 
    Heat kernel asymptotics of operators with non-Laplace principal part, 
    Reviews in Mathematical Physics, 13 (2001) 847-890
    Preprint: arXiv:math-ph/9905001
    Citations


    13. Heat Kernel Asymptotics for Laplace Type Operators

  13. A covariant technique for the calculation of the one-loop effective action,
    Nuclear Physics B, 355 (1991) 712-754;
    Preprint; 
    Erratum: Nuclear Physics B, 509 (1998) 557-558;
    Preprint
    Citations

  14. The covariant technique for calculation of the heat kernel asymptotic expansion,
    Physics Letters B, 238 (1990) 92-97;
    Preprint
    Citations


    15. Symmetric Spaces and Homogeneous Vector Bundles

  15. (with G. Fucci),
    Non-perturbative Heat Kernel Asymptotics on Homogeneous Abelian Bundles,
    Communications in Mathematical Physics 291 (2009) 543-577, DOI: 10.1007/s00220-009-0804-6;
    Preprint: arXiv:0810.4889 [math-ph], 45 pp,
    Citations

  16. Heat Kernel on Homogeneous Bundles,
     International Journal of Geometric Methods in Modern Physics, 5 (2008) 407-429
    Preprint: arXiv:0708.0234 [math.DG]
    Citations

  17. Heat Kernel on Homogeneous Bundles over Symmetric Spaces, 
    Communications in Mathematical Physics, 288 (2009) 963-1006; DOI: 10.1007/s00220-008-0639-6
    Preprint: arXiv:math.AP/0701489
    Citations

  18. Heat Kernel Asymptotics on Symmetric Spaces,
    Proc. Midwest Geometry Conference, Communications in Mathematical Analysis,     Conf. 01 (2008) pp. 1–10
    Preprint: arXiv:math.DG/0605762 
    Citations

  19. A new algebraic approach for calculating the heat kernel in quantum gravity,
    Journal of Mathematical Physics, 37 (1996) 374-394
    Preprint: arXiv:hep-th/9406047
    Citations

  20. Covariant algebraic method for calculation of the low-energy heat kernel,
    Journal of Mathematical Physics, 36 (1995) 5055-5070;
    Erratum: Journal of Mathematical Physics 39 (1998) 1720
    Preprint: arXiv:hep-th/9503132
    Citations

  21. The heat kernel on symmetric spaces via integrating over the group of isometries,
    Physics Letters B, 336 (1994) 171-177;
    Preprint: arXiv:hep-th/9509079
    Citations

  22. A new algebraic approach for calculating the heat kernel in gauge theories,
    Physics Letters B, 305 (1993) 27-34;
    Preprint
    Citations


    23. Leading Derivatives in Heat Kernel Asymptotics

  23. The nonlocal structure of one-loop effective action via partial summation of asymptotic expansion, 
    Physics Letters B, 236 (1990) 443-449
    Preprint
    Citations


    24. Boundary Value Problems

  24. Heat kernel asymptotics of Zaremba boundary value problem, 
     Mathematical Physics, Analysis and Geometry, 7 (2004) 9-46,
    Preprint: arXiv:math-ph/0110020, 
    Citations

  25. (with G. Esposito), 
    Heat kernel asymptotics of Gilkey-Smith boundary value problem , 
    in: Trends in Mathematical Physics, Eds. V. Alexiades and G. Siopsis, AMS/IP Studies in Advanced Mathematics, vol. 13, (American Mathematical Society and International Press, 1999), pp. 15-34;
    Preprint: arXiv:math-ph/9812010,
    Citations

  26. (with G. Esposito),
    Gauge theories on manifolds with boundary,
    Communications in Mathematical Physics, 200 (1999) 495-543    ; 
    Preprint: arXiv:hep-th/9710048
    Citations

  27. (with G. Esposito), 
    New invariants in the one-loop divergences on manifolds with boundary, 
    Classical and Quantum Gravity, 15 (1998) 281-297;
    Preprint: arXiv:hep-th/9701018
    Citations

  28. A method for calculating the heat kernel for manifolds with boundary,
    Yadernaya Fizika, 56 (1993) 245-252, [in Russian]; 
    Physics of Atomic Nuclei, 56 (1993);  [in English]
    Preprint: arXiv:hep-th/9509078
    Citations


    29. Quantum Gravity on Manifolds with Boundary

  29. (with G. Esposito), 
    On ellipticity and gauge invariance in Euclidean quantum gravity,
    in: Trends in Mathematical Physics, Eds. V. Alexiades and G. Siopsis, AMS/IP Studies in Advanced Mathematics, vol. 13, (American Mathematical Society and International Press, 1999), pp. 33-40;
    Preprint: arXiv:hep-th/9810009,
    Citations

  30. (with G. Esposito),
    Lack of strong ellipticity in Euclidean quantum gravity,  
    Classical and Quantum Gravity, 15 (1998) 1141-1152;
    Preprint: arXiv:hep-th/9708163
    Citations

  31. (with G. Esposito and A. Yu. Kamenshchik), 
    Boundary operators in Euclidean quantum gravity,
    Classical and Quantum Gravity, 13 (1996) 2361-2373;
    Preprint: arXiv:hep-th/9603021
    Citations


    32. Higher-Order Operators

  32. Green functions of higher-order differential operators,
    Journal of Mathematical Physics, 39 (1998) 2889-2909;     
    Preprint: arXiv:hep-th/9707040
    Citations

  33. Singularities of Green functions of the products of the Laplace-type operators,
    Physics Letters B, 403 (1997) 280-284    ;
    Preprint: hep-th/9703005
    Citations


    34.  Low Energy Effective Action in Yang-Mills Theory

  34. A model of stable chromomagnetic vacuum in higher-dimensional Yang-Mills theory, 
    Fortschritte der Physik / Progress of Physics, 47 (1999) 433-455;
    Preprint: arXiv:hep-th/9604160, 24 pp.
    Citations

  35. Covariant algebraic calculation of the one-loop effective potential in non-Abelian gauge theory and a new approach to stability problem,
    Journal of Mathematical Physics, 36 (1995) 1557-1571;
    Preprint: arXiv:gr-qc/9403035
    Citations


    36. Korteweg-de Vries Hierarchy

  36. (with R. Schimming), 
    A new explicit expression for the Korteweg-de Vries hierarchy,
    Mathematische Nachrichten, 219 (2000) 45-64;      
    Preprint: arXiv:solv-int/9710009
    Citations

  37. (with R. Schimming), 
    Heat kernel coefficients to the matrix Schr�dinger operator, 
    Journal of Mathematical Physics, 36 (1995) 5042-5054;
    Preprint: arXiv:hep-th/9501026
    Citations


    38. Higher Spin Fields in Curved Space

  38. Gauge invariant theory of higher spin fields in curved space, 
     International Journal of Modern Physics A, 6 (1991) 1693-1700;
    Preprint
    Citations


    39. Non-perturbative Quantum Electrodynamics in Curved Space

  39. (with G. Fucci),
    Low-Energy Effective Action in Non-Perturbative Electrodynamics in Curved Spacetime,
    Journal of Mathematical Physics 50 (2009) 102302 ;
    Preprint: arXiv:0902.1541 [hep-th] , 42pp
    Citations 

    40. Non-perturbative Quantum Gravity


  40. Non-perturbative Effective Action in Gauge Theories and Quantum Gravity,
    Advances in Theoretical and Mathematical Physics (2009);
    Preprint: arXiv:0903.1295 [hep-th], 26pp
    Citations 

    41. Noncommutative Gravity

  41. (with G. Fucci),
     A Model for the Pioneer Anomaly,
    Canadian Journal of Physics (2009);
    Preprint: arXiv:0811.1573 [gr-qc] , 12pp
    Citations
     
  42. (with G. Fucci),
     Kinematics in Matrix Gravity,
    General Relativity and Gravitation, 41 (2009) 1407-1435;  DOI: 10.1007/s10714-008-0713-6;
    Preprint: arXiv:0802.3927 [gr-qc], 31pp
    Citations 

  43. (with G. Fucci),
    Non-commutative Corrections in Spectral Matrix Gravity,     
    Classical and Quantum Gravity 26 (2009) 045019 (24pp), DOI:     10.1088/0264-9381/26/4/045019
    Preprint: arXiv:0802.2557 [gr-qc] , 32pp
    Citations 

  44. (with G. Fucci),
    Non-commutative Einstein Equations,     
    Classical and Quantum Gravity    , 25 (2008) 025005
    Preprint: arXiv:0709.0015 [gr-qc] , 17pp
    Citations 

  45. Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators,
    Journal of High Energy Physics, 07 (2004) 030
    Preprint: arXiv:hep-th/0406026 , 41pp
    Citations 

  46. Matrix General Relativity: A new look at Old Problems, 
    Classical and Quantum Gravity, 21 (2004) 103-120
    Preprint: arXiv:hep-th/0307140 
    Citations

  47. A Noncommutative Deformation of General Relativity, 
    Physics Letters B, 576 (2003) 195-198
    Preprint: arXiv:hep-th/0310009 
    Citations

    48. Higher Derivative Quantum Gravity

  48. Asymptotic behaviour of the quantum theory of gravity with higher order derivatives, 
    Yadernaya Fizika, 44 (1986) 255-263, [in Russian]; 
    Soviet Journal of Nuclear Physics, 44 (1986) 160-164 [in English]
    Citations

  49. (with A. O. Barvinsky),
    Asymptotic freedom in higher-derivative quantum gravity,
    Physics Letters B, 159 (1985) 269-274
    Citations


Ivan Avramidi
http://www.nmt.edu/~iavramid
iavramid@nmt.edu