scholarly journals Spectral sum rules and finite volume partition function in gauge theories with real and pseudoreal fermions

1995 ◽  
Vol 51 (2) ◽  
pp. 829-837 ◽  
Author(s):  
A. Smilga ◽  
J. J. M. Verbaarschot
Keyword(s):  
Partition Function ◽  
Finite Volume ◽  
Gauge Theories ◽  
Sum Rules ◽  
Spectral Sum Rules

scholarly journals Gauge theories on compact toric manifolds

2021 ◽  
Vol 111 (3) ◽  
Author(s):  
Giulio Bonelli ◽  
Francesco Fucito ◽  
Jose Francisco Morales ◽  
Massimiliano Ronzani ◽  
Ekaterina Sysoeva ◽  
...  
Keyword(s):  
Partition Function ◽  
Gauge Theories ◽  
Blow Up ◽  
Gauge Coupling ◽  
Piecewise Constant Function ◽  
Partition Functions ◽  
Piecewise Constant ◽  
Toric Manifolds ◽  
Holomorphic Anomaly ◽  
The One

AbstractWe compute the $$\mathcal{N}=2$$ N = 2 supersymmetric partition function of a gauge theory on a four-dimensional compact toric manifold via equivariant localization. The result is given by a piecewise constant function of the Kähler form with jumps along the walls where the gauge symmetry gets enhanced. The partition function on such manifolds is written as a sum over the residues of a product of partition functions on $$\mathbb {C}^2$$ C 2 . The evaluation of these residues is greatly simplified by using an “abstruse duality” that relates the residues at the poles of the one-loop and instanton parts of the $$\mathbb {C}^2$$ C 2 partition function. As particular cases, our formulae compute the SU(2) and SU(3) equivariant Donaldson invariants of $$\mathbb {P}^2$$ P 2 and $$\mathbb {F}_n$$ F n and in the non-equivariant limit reproduce the results obtained via wall-crossing and blow up methods in the SU(2) case. Finally, we show that the U(1) self-dual connections induce an anomalous dependence on the gauge coupling, which turns out to satisfy a $$\mathcal {N}=2$$ N = 2 analog of the $$\mathcal {N}=4$$ N = 4 holomorphic anomaly equations.

scholarly journals Determining Fπ from spectral sum rules

2006 ◽  
Vol 643 (3-4) ◽  
pp. 235-239 ◽  
Author(s):  
Magdalena Luz
Keyword(s):  
Sum Rules ◽  
Spectral Sum Rules

Baryons with two heavy quarks from QCD spectral sum rules

1993 ◽  
Vol 306 (3-4) ◽  
pp. 350-356 ◽  
Author(s):  
E. Bagan ◽  
M. Chabab ◽  
S. Narison
Keyword(s):  
Sum Rules ◽  
Heavy Quarks ◽  
Spectral Sum Rules

scholarly journals MODIFIED PARTITION FUNCTIONS, CONSISTENT ANOMALIES AND CONSISTENT SCHWINGER TERMS

2011 ◽  
Vol 08 (08) ◽  
pp. 1747-1762 ◽  
Author(s):  
AMIR ABBASS VARSHOVI
Keyword(s):  
Partition Function ◽  
Gauge Theories ◽  
Partition Functions ◽  
Gauge Invariant

A gauge invariant partition function is defined for gauge theories which leads to the standard quantization. It is shown that the descent equations and consequently the consistent anomalies and Schwinger terms can be extracted from this modified partition function naturally.

scholarly journals The large-Nc limit of borelized spectral sum rules and the slope of radial Regge trajectories

2018 ◽  
Vol 33 (18n19) ◽  
pp. 1850115 ◽  
Author(s):  
S. S. Afonin ◽  
T. D. Solomko
Keyword(s):  
Ground State ◽  
Sum Rules ◽  
Ground States ◽  
Phenomenological Method ◽  
Scalar Mesons ◽  
Regge Trajectories ◽  
Spectral Sum Rules ◽  
The Given ◽  
Vacuum Condensates

We put forward a new phenomenological method for calculating the slope of radial trajectories from values of ground states and vacuum condensates. The method is based on a large-[Formula: see text] extension of borelized spectral sum rules. The approach is applied to the light nonstrange vector, axial and scalar mesons. The extracted values of slopes proved to be approximately universal and are in the interval [Formula: see text] GeV2. As a by-product, the given method leads to prediction of the second radial trajectory with ground state mass lying near 0.6 GeV.

scholarly journals Partition function of N = 2 gauge theories on a squashed S 4 with SU (2)× U (1) isometry

2015 ◽  
Vol 899 ◽  
pp. 149-164 ◽  
Author(s):  
Alejandro Cabo-Bizet ◽  
Edi Gava ◽  
Victor I. Giraldo-Rivera ◽  
M. Nouman Muteeb ◽  
K.S. Narain
Keyword(s):  
Partition Function ◽  
Gauge Theories

scholarly journals Spectral sum rules for the Tomonaga-Luttinger model

1993 ◽  
Vol 48 (15) ◽  
pp. 11390-11393 ◽  
Author(s):  
K. Schönhammer ◽  
V. Meden
Keyword(s):  
Sum Rules ◽  
Luttinger Model ◽  
Spectral Sum Rules
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