Topics, Y
Yamabe Flow > see ADM mass.
Yamabe Invariant
@ References: Botvinnik & Rosenberg JDG(02) [non-simply-connected manifolds];
Avila & Dain CQG(08) [axisymmetric initial data of two Kerr black holes].
Yamabe Question
@ Solution: Schoen JDG(84).
Yang-Baxter Equation
> s.a. integrable systems; lie algebras.
* Idea: A relationship
between elementary braids in the braid group with n strands.
* Remark: The solutions of
the YB equation "at roots of unity" are related to algebraic
curves of genus g > 1; They are also known to be connected
with the "chiral Potts model".
@ General references:
Korepanov in(86)nl/00;
Jimbo IJMPA(89) [intro];
Babelon & Viallet pr(89);
Perk & Au-Yang en(06)mp [rev];
Nichita a1506 [computational methods and applications].
@ Generalizations: Ambjørn et al NPB(06) [3D, Zamolodchikov's tetrahedron equations, simplified].
> Online resources:
see John Baez page;
Wikipedia page.
Yang-Lee Theory > see under Lee-Yang Theorem / Theory.
Yang-Mills Algebra
@ References: Herscovich & Solotar AM(11) [representations].
Yano Tensor
@ References: Cariglia CQG(04)ht/03 [and the Dirac equation in curved spacetime].
Yarkovsky Effect
> s.a. Asteroids.
* Idea: A non-gravitational
force acting on celestial bodies, e.g., asteroids, from recoil due to
re-emission of heat absorbed from the Sun.
@ References:
Lorenz & Spitale Icarus(04) [as heat engine];
news BBC(07)mar,
pw(07)mar [observation];
De Vos & Kaplar AJP(10)jun [influence on the energy balance and surface temperature];
Vokrouhlický et al a1502-ch [and its rotational variant, the YORP effect].
Yilmaz Theory
* Idea: An alternative, 4D,
curved spacetime theory of gravity, in which the Ricci curvature is defined in
terms of a massless Klein-Gordon scalar field on an initially flat spacetime, and
satisfies the Einstein equation with the usual scalar field stress-energy tensor;
It predicts the existence of N-body interacting solutions without event
horizons.
@ General references: Yilmaz PR(58),
comment Hoffmann JMM(60);
Misner NCB(99)gq/95;
Alley & Yilmaz NCB(99)gq/95;
Wyss NCB(99);
Alley et al ap/99/ApJL;
Ibison CQG(06)-a0705 [FLRW models].
@ Exponential metric: Martinis & Perković a1009/FP [and Newtonian gravity].
York Time > see time in gravity.
Young Diagrams / Tableaux
> s.a. group representations.
* Idea: A diagrammatic way
of describing representations of finite and compact Lie groups.
* Examples: For SU(n),
denoting the fundamental representation by a box \(\square\) and the conjugate
one by a column of n−1 boxes, we get:
* Dimension: The dimension
of such a representation can be calculated as follows: ...
@ References: Hamermesh 63;
Fulton 96 [applications to representation theory and geometry];
Mironov & Morozov a1912 [hook variables, cut-and-join operators and τ-functions].
> Online resources:
see Wikipedia page.
Young's Double Slit Experiment > see experiments in physics; interference.
Yukawa Potential
> s.a. renormalization [Yukawa theories with fermions].
* Idea: An exponential potential
U(r) = exp(−r/λ)/r,
introduced by Yukawa to describe a meson-mediated interaction, where the length
scale λ is related to the mass of the particle.
@ References: Gönül et al PS(06) [quantum, eigenvalues and eigenfunctions];
Haque & Joglekar a1004 [1+1, causality];
Toms PRD(18)-a1805 [in curved spacetime];
> s.a. chaotic systems.
> And gravity:
see modified newtonian gravity
and tests.
> Online resources:
see Wikipedia page.
main page
– abbreviations
– journals – comments
– other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 29 feb 2020