Question: What two theory's were united by the quantum field theory?
About the article "Physics", section "Difference between classical and modern physics".

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Asymptotic safety: The main idea.
Theory space.
The asymptotic safety program adopts a modern Wilsonian viewpoint on quantum field theory.
Here the basic input data to be fixed at the beginning are, firstly, the kinds of quantum fields carrying the theory's degrees of freedom and, secondly, the underlying symmetries.
For any theory considered, these data determine the stage the renormalization group dynamics takes place on, the so-called theory space.
It consists of all possible action functionals depending on the fields selected and respecting the prescribed symmetry principles.
Each point in this theory space thus represents one possible action.
Often one may think of the space as spanned by all suitable field monomials.
In this sense any action in theory space is a linear combination of field monomials, where the corresponding coefficients are the coupling constants, formula_16.
(Here all couplings are assumed to be dimensionless.
Couplings can always be made dimensionless by multiplication with a suitable power of the RG scale.)
The first formulation of a quantum theory describing radiation and matter interaction is attributed to British scientist Paul Dirac, who (during the 1920s) was first able to compute the coefficient of spontaneous emission of an atom.
Dirac described the quantization of the electromagnetic field as an ensemble of harmonic oscillators with the introduction of the concept of creation and annihilation operators of particles.
In the following years, with contributions from Wolfgang Pauli, Eugene Wigner, Pascual Jordan, Werner Heisenberg and an elegant formulation of quantum electrodynamics due to Enrico Fermi, physicists came to believe that, in principle, it would be possible to perform any computation for any physical process involving photons and charged particles.
However, further studies by Felix Bloch with Arnold Nordsieck, and Victor Weisskopf, in 1937 and 1939, revealed that such computations were reliable only at a first order of perturbation theory, a problem already pointed out by Robert Oppenheimer.
At higher orders in the series infinities emerged, making such computations meaningless and casting serious doubts on the internal consistency of the theory itself.
With no solution for this problem known at the time, it appeared that a fundamental incompatibility existed between special relativity and quantum mechanics.
Difficulties with the theory increased through the end of 1940.
Improvements in microwave technology made it possible to take more precise measurements of the shift of the levels of a hydrogen atom, now known as the Lamb shift and magnetic moment of the electron.
These experiments unequivocally exposed discrepancies which the theory was unable to explain.
A first indication of a possible way out was given by Hans Bethe.
In 1947, while he was traveling by train to reach Schenectady from New York, after giving a talk at the conference at Shelter Island on the subject, Bethe completed the first non-relativistic computation of the shift of the lines of the hydrogen atom as measured by Lamb and Retherford.
Despite the limitations of the computation, agreement was excellent.
The idea was simply to attach infinities to corrections of mass and charge that were actually fixed to a finite value by experiments.
In this way, the infinities get absorbed in those constants and yield a finite result in good agreement with experiments.
This procedure was named renormalization.
Based on Bethe's intuition and fundamental papers on the subject by Sin-Itiro Tomonaga, Julian Schwinger, Richard Feynman and Freeman Dyson, it was finally possible to get fully covariant formulations that were finite at any order in a perturbation series of quantum electrodynamics.
Sin-Itiro Tomonaga, Julian Schwinger and Richard Feynman were jointly awarded with a Nobel prize in physics in 1965 for their work in this area.
Their contributions, and those of Freeman Dyson, were about covariant and gauge invariant formulations of quantum electrodynamics that allow computations of observables at any order of perturbation theory.
Feynman's mathematical technique, based on his diagrams, initially seemed very different from the field-theoretic, operator-based approach of Schwinger and Tomonaga, but Freeman Dyson later showed that the two approaches were equivalent.
Renormalization, the need to attach a physical meaning at certain divergences appearing in the theory through integrals, has subsequently become one of the fundamental aspects of quantum field theory and has come to be seen as a criterion for a theory's general acceptability.
Even though renormalization works very well in practice, Feynman was never entirely comfortable with its mathematical validity, even referring to renormalization as a "shell game" and "hocus pocus".QED has served as the model and template for all subsequent quantum field theories.
One such subsequent theory is quantum chromodynamics, which began in the early 1960s and attained its present form in the 1975 work by H. David Politzer, Sidney Coleman, David Gross and Frank Wilczek.
Building on the pioneering work of Schwinger, Gerald Guralnik, Dick Hagen, and Tom Kibble, Peter Higgs, Jeffrey Goldstone, and others, Sheldon Glashow, Steven Weinberg and Abdus Salam independently showed how the weak nuclear force and quantum electrodynamics could be merged into a single electroweak force. 
A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.
Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry.
Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for work related to topological field theory.
In condensed matter physics, topological quantum field theories are the low energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states. 
Quantum theory may mean:In science: Quantum mechanics: a subset of physics explaining the physical behaviours at the molecular, atomic and sub-atomic levels Old quantum theory under the Bohr model or a theory  Quantum field theory, a generic type of relativistic quantum theory, which includes: * Quantum electrodynamics * Quantum chromodynamics * Electroweak interaction  Quantum gravity, a general term for theories intended to quantize general relativity  Quantum optics  Quantum chemistry In popular culture:  "Quantum Theory", a song from the Jarvis Cocker album "Jarvis"  "Quantum Theory", a 2010 video game by Tecmo  
  Anomaly (physics), a failure of a symmetry of a theory's classical action  Conformal anomaly, a quantum phenomenon that breaks the conformal symmetry of the classical theory  Chiral anomaly, an anomalous nonconservation of a chiral current  Gauge anomaly, the effect of quantum mechanics that invalidates the gauge symmetry of a quantum field theory  Global anomaly, an anomaly in quantum physics  Gravitational anomaly, an effect in quantum mechanics that invalidates the general covariance of some theories of general relativity  Mixed anomaly, an effect in quantum mechanics  Parity anomaly, an anomaly that is associated with parity  Konishi anomaly, the violation of the conservation of the Noether current associated with certain transformations  Anomalons, some odd particle interactions that are seen in some high-energy physics  Anomalous skin effect, when electromagnetic fields penetrate into a metal by an amount comparable to, or much less than, the mean free path.
Brian Pippard used it to determine the Fermi surface of copper.
Anomalous dispersion (optics), when the speed of an electromagnetic wave increases with increasing frequency