Critical behavior in the single flavor Thirring model in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="fa

We present results of a lattice field theory simulation of the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mo stretchy="false">(</a:mo><a:mn>2</a:mn><a:mo>+</a:mo><a:mn>1</a:mn><a:mo stretchy="false">)</a:mo><a:mi mathvariant="normal">D</a:mi></a:mrow></a:math> Thirring model with <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"><f:mi>N</f:mi><f:mo>=</f:mo><f:mn>1</f:mn></f:math> fermion flavors, using domain wall fermions. The model exhibits a U(2)-symmetry-breaking phase transition with the potential to define a UV-stable renormalization group fixed point. The novelty is the replacement of the Shamir kernel used in all previous work with the Wilson kernel, improving the action particularly with respect to the <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"><h:msub><h:mi>L</h:mi><h:mi>s</h:mi></h:msub><h:mo stretchy="false">→</h:mo><h:mi>∞</h:mi></h:math> limit needed to recover U(2), now under much better control. Auxiliary field ensembles generated on <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msup><k:mn>16</k:mn><k:mn>3</k:mn></k:msup><k:mo>×</k:mo><k:mn>24</k:mn></k:math> with varying self-interaction strength <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:msup><m:mi>g</m:mi><m:mn>2</m:mn></m:msup></m:math> and bare mass <o:math xmlns:o="http://www.w3.org/1998/Math/MathML" display="inline"><o:mi>m</o:mi></o:math> are used to measure the bilinear condensate order parameter <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:mo stretchy="false">⟨</q:mo><q:mover accent="true"><q:mi>ψ</q:mi><q:mo stretchy="false">¯</q:mo></q:mover><q:mi>i</q:mi><q:msub><q:mi>γ</q:mi><q:mn>3</q:mn></q:msub><q:mi>ψ</q:mi><q:mo stretchy="false">⟩</q:mo></q:math> with domain wall separations as large as <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:msub><w:mi>L</w:mi><w:mi>s</w:mi></w:msub><w:mo>=</w:mo><w:mn>120</w:mn></w:math>. The resulting <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:msub><y:mi>L</y:mi><y:mi>s</y:mi></y:msub><y:mo stretchy="false">→</y:mo><y:mi>∞</y:mi></y:math> extrapolation is used to fit an empirical equation of state modeling spontaneous symmetry breaking as <bb:math xmlns:bb="http://www.w3.org/1998/Math/MathML" display="inline"><bb:mi>m</bb:mi><bb:mo stretchy="false">→</bb:mo><bb:mn>0</bb:mn></bb:math>. The fit is remarkably stable and compelling, with the fitted critical exponents <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"><eb:msub><eb:mi>β</eb:mi><eb:mi>m</eb:mi></eb:msub><eb:mo>≃</eb:mo><eb:mn>2.4</eb:mn></eb:math>, <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"><gb:mi>δ</gb:mi><gb:mo>≃</gb:mo><gb:mn>1.3</gb:mn></gb:math> differing markedly from previous estimates. The associated susceptibility exhibits a mass hierarchy in line with physical expectations, again unlike previous estimates. Schwinger-Dyson equation (SDE) solutions of the Thirring model exploiting a hidden local symmetry in the action are reviewed and analytic predictions presented for the exponents. In contrast to all previous lattice studies, the universal characteristics of the critical point revealed qualitatively resemble the SDE predictions.