PROF IVAN AVRAMIDI'S
PUBLICATIONS
 Books
- Heat
Kernel
and
Quantum
Gravity,
(Berlin: Springer-Verlag,
2000)
Reviews
- Mathemathical tools for
calculation of the effective action in quantum gravity,
in:
New Paths Towards
Quantum
Gravity,
Ed. B. Booss-Bavnbek, G. Esposito and M. Lesch, (Berlin, Springer,
2010), pp, 193-259;
Preprint: arXiv:0812.3363
[hep-th], 71pp,
Citations
- Dirac
operator
in
matrix
geometry,
International Journal of Geometric Methods in Modern
Physics, 2 (2005) 227-264
Preprint: arXiv:math-ph/0502001,
45pp
Citations
-
Heat kernel in quantum field theory,
Nuclear Physics B - Proceedings Supplement, 104
(2002) 3-32
Preprint: arXiv:math-ph/0107018,
67pp
Citations
- Covariant
techniques
for
computation
of
the
heat
kernel,
Reviews in Mathematical Physics, 11
(1999), 947-980
Preprint: arXiv:hep-th/9510206
Citations
 Laplace Type Operators on Manifolds
without Boundary
- 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
- The
covariant
technique
for
calculation
of
the
heat
kernel
asymptotic
expansion,
Physics Letters B, 238
(1990) 92-97;
Preprint
Citations
- The
nonlocal
structure
of
one-loop
effective
action
via
partial
summation
of
asymptotic
expansion,
Physics
Letters B, 236 (1990) 443-449
Preprint
Citations
Laplace Type Operators on Manifolds with Boundary
- Heat
kernel
asymptotics
of
Zaremba
boundary
value
problem,
Mathematical Physics, Analysis
and Geometry, 7
(2004) 9-46,
Preprint: arXiv:math-ph/0110020,
Citations
- (with
G.
Esposito),
Gauge theories on manifolds with boundary,
Communications in Mathematical
Physics, 200
(1999) 495-543;
Preprint: arXiv:hep-th/9710048
Citations
- (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
Laplace Type Operators on Symmetric
Spaces and Homogeneous Vector Bundles
- (with
G.
Fucci),
Non-perturbative
heat
kernel
asymptotics
on
homogeneous
abelian
bundles,
Communications
in Mathematical Physics 291
(2009) 543-577
Preprint: arXiv:0810.4889
[math-ph], 45 pp,
Citations
- Heat
kernel
on
homogeneous
bundles
over
symmetric
spaces,
Communications
in Mathematical Physics, 288
(2009) 963-1006
Preprint: arXiv:math.AP/0701489
Citations
-
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
- 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
- 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
- A
new
algebraic
approach
for
calculating
the
heat
kernel
in
gauge
theories,
Physics Letters B, 305
(1993) 27-34;
Preprint
Citations
Higher-Order
Operators
-
Green functions of higher-order
differential operators,
Journal of Mathematical Physics, 39
(1998)
2889-2909;
Preprint: arXiv:hep-th/9707040
Citations
- Singularities
of
Green
functions
of
the
products
of
the
Laplace-type
operators,
Physics Letters B, 403
(1997) 280-284;
Preprint: hep-th/9703005
Citations
Korteweg-de
Vries
Hierarchy
- (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
- (with
R.
Schimming),
Heat kernel coefficients to the matrix
Schroedinger
operator,
Journal of Mathematical Physics, 36
(1995)
5042-5054;
Preprint: arXiv:hep-th/9501026
Citations
Non-Laplace
Type Operators
- Non-Laplace
type operators on manifolds with boundary,
in: Analysis, Geometry and Topology of Elliptic Operators, Eds.
B.
Booss-Bavnbek,
S.
Klimek,
M.
Lesch
and
W.
Zhang
(Singapore:
World
Scientific,
2006), pp. 119-152
Preprint: arXiv:math-ph/0509023
Citations
- (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
- (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
Classical and Quantum Gravity
- Non-perturbative
effective
action
in
gauge
theories
and
quantum
gravity,
Advances in
Theoretical and Mathematical
Physics 14 (2010) 309-333
Preprint: arXiv:0903.1295 [hep-th],
26pp
Citations
- (with
G.
Fucci),
Kinematics in matrix gravity,
General
Relativity
and
Gravitation,
41
(2009) 1407-1435
Preprint: arXiv:0802.3927
[gr-qc], 31pp
Citations
- (with
G. Fucci),
Non-commutative corrections in spectral matrix gravity,
Classical and
Quantum Gravity 26 (2009) 045019 (24pp)
Preprint: arXiv:0802.2557
[gr-qc] , 32pp
Citations
- (with
G.
Fucci),
Non-commutative Einstein equations,
Classical
and Quantum Gravity, 25
(2008) 025005
Preprint: arXiv:0709.0015
[gr-qc] , 17pp
Citations
- 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
- Matrix
general
relativity:
a
new
look
at
old
problems,
Classical and Quantum Gravity,
21 (2004)
103-120
Preprint: arXiv:hep-th/0307140
Citations
- A
noncommutative
deformation
of
general
relativity,
Physics Letters B, 576 (2003)
195-198
Preprint: arXiv:hep-th/0310009
Citations
- 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
- (with
A.
O.
Barvinsky),
Asymptotic freedom in higher-derivative
quantum gravity,
Physics Letters B, 159 (1985)
269-274
Citations
Quantum Field Theory (Yang-Mills
Theory and Quantum
Electrodynamics)
on
Manifolds
- (with S. Collopy),
Thermal Yang-Mills Theory in Einstein
Universe,
Journal of Physics
A:Mathematical and Theoretical,
(2012);
Preprint:
arXiv:1201.5163, 23pp
Citations
- (with S. Collopy),
Effective
Action and Phase Transitions in Thermal Yang-Mills Theory on Spheres,
Communications in
Mathematical Physics, 311
(2012) 713-753, DOI:
10.1007/s00220-012-1418-y;
Preprint: arXiv:1012.2414
[hep-th],
40pp
Citations
- (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
- 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
- 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
- Gauge
invariant
theory
of
higher
spin
fields
in
curved
space,
International
Journal
of
Modern
Physics
A,
6 (1991) 1693-1700;
Preprint
Citations
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